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Визуализация решения для фраткального уравнения Баклея-Леверетта.py
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Визуализация решения для фраткального уравнения Баклея-Леверетта.py
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#Визуализация фрактальных функций для статьи https://drive.google.com/file/d/1hLrADL_Dlk3CTJo4hXmmZqamXgYGGhHA/view
#код визуализации со строки 74
#Само решение построено в Maple 18
import math as ma
import numpy as np
import matplotlib as mpl
import matplotlib.pyplot as plt
from mpl_toolkits.mplot3d import Axes3D
import random
import tkinter as TKR
import time
#------------------------------------------------------------------------------------------ДАННЫЕ ДЛЯ ВИЗУАЛИЗАЦИИ
#решение с альфа производными
SubdivizionTrue01=[0, 0.023719, 0.027577, 0.03505, 0.036389, 0.038614, 0.086441, 0.088532, 0.090704, 0.097553, 0.098511, 0.104947, 0.107061, 0.10762, 0.110933, 0.112439, 0.137714, 0.142702, 0.145291, 0.15247, 0.160043, 0.1615, 0.163582, 0.213014, 0.215944, 0.221817, 0.224756, 0.275041, 0.275883, 0.278083, 0.285061, 0.286268, 0.290041, 0.290541, 0.304696, 0.319835, 0.322512, 0.326147, 0.328, 0.422, 0.423154, 0.424327, 0.427378, 0.428712, 0.430484, 0.431305, 0.443939, 0.448149, 0.450805, 0.453, 0.547, 0.548946, 0.552339, 0.55377, 0.555211, 0.569832, 0.571132, 0.572297, 0.580122, 0.581937, 0.605841, 0.60686, 0.608035, 0.610869, 0.612319, 0.637505, 0.638785, 0.642581, 0.645134, 0.652345, 0.659917, 0.661383, 0.663588, 0.711579, 0.713599, 0.715636, 0.721734, 0.724735, 0.775513, 0.778181, 0.785648, 0.789079, 0.820448, 0.821801, 0.822396, 0.826185, 0.828, 0.922, 0.923946, 0.927494, 0.930318, 0.944998, 0.94739, 0.956859, 0.98, 1.0]
N01=len(SubdivizionTrue01)-1
SubdivizionTrue005=[0, 0.002, 0.005432, 0.007021, 0.009403, 0.022044, 0.02735, 0.035111, 0.036276, 0.0406, 0.053353, 0.055209, 0.06885, 0.069522, 0.071398, 0.072472, 0.080219, 0.081417, 0.106, 0.107365, 0.11135, 0.112779, 0.113114, 0.137649, 0.139081, 0.14266, 0.14502, 0.14532, 0.1524, 0.16015, 0.16112, 0.16592, 0.178368, 0.1789, 0.180737, 0.181805, 0.193463, 0.194508, 0.196266, 0.196957, 0.209433, 0.20999, 0.21388, 0.214486, 0.215524, 0.21561, 0.22257, 0.22363, 0.22754, 0.22814, 0.24173, 0.24283, 0.257561, 0.258381, 0.259303, 0.272062, 0.2764, 0.277756, 0.28443, 0.286677, 0.288702, 0.337439, 0.340146, 0.347801, 0.354836, 0.357106, 0.357465, 0.361458, 0.362671, 0.387008, 0.38876, 0.392441, 0.39447, 0.418343, 0.41958, 0.41993, 0.427913, 0.428805, 0.431159, 0.444826, 0.447399, 0.455219, 0.456858, 0.481319, 0.483195, 0.485141, 0.514796, 0.516835, 0.518573, 0.543711, 0.545046, 0.552578, 0.553826, 0.555206, 0.56999, 0.571647, 0.572281, 0.580212, 0.581792, 0.606287, 0.607756, 0.610953, 0.61255, 0.637492, 0.639096, 0.642709, 0.6453, 0.652508, 0.659425, 0.661763, 0.662616, 0.711453, 0.713873, 0.714882, 0.730498, 0.73197, 0.73244, 0.736349, 0.739811, 0.741402, 0.74271, 0.75628, 0.757027, 0.759005, 0.759815, 0.767634, 0.769335, 0.793211, 0.795056, 0.802749, 0.805194, 0.819847, 0.822389, 0.831511, 0.856348, 0.857871, 0.861182, 0.863188, 0.886765, 0.887408, 0.88884, 0.892727, 0.893085, 0.895377, 0.9024, 0.91, 0.911, 0.91508, 0.915755, 0.928233, 0.929113, 0.93042, 0.93123, 0.943985, 0.946044, 0.94693, 0.9591, 0.959964, 0.963969, 0.965048, 0.972781, 0.978426, 0.990752, 0.995075, 0.99752, 0.9992, 1]
N005=len(SubdivizionTrue005)-1
FalphaSol01=[1., .9280000000, .9190000000, .9100000000, .9070000000, .9040000000, .8580000000, .8560000000, .8540000000, .8480000000, .8460000000, .8390000000, .8370000000, .8370000000, .8330000000, .8310000000, .8130000000, .8100000000, .8060000000, .8010000000, .7950000000, .7930000000, .7910000000, .7630000000, .7610000000, .7580000000, .7550000000, .7310000000, .7300000000, .7290000000, .7260000000, .7240000000, .7220000000, .7220000000, .7140000000, .7080000000, .7060000000, .7030000000, .7020000000, .6700000000, .6690000000, .6680000000, .6670000000, .6660000000, .6650000000, .6650000000, .6600000000, .6580000000, .6570000000, .6550000000, .6280000000, .6260000000, .6240000000, .6240000000, .6190000000, .6180000000, .6170000000, .6140000000, .6130000000, .6060000000, .6060000000, .6050000000, .6040000000, .5970000000, .5960000000, .5940000000, .5910000000, .5880000000, .5870000000, .5740000000, .5730000000, .5720000000, .5690000000, .5550000000, .5390000000, .5390000000, .5360000000, 0.]
localSol=[1., .9910000000, .9820000000, .9770000000, .9730000000, .9530000000, .9380000000, .9280000000, .9250000000, .9160000000, .9010000000, .8980000000, .8820000000, .8820000000, .8800000000, .8770000000, .8700000000, .8680000000, .8460000000, .8430000000, .8390000000, .8370000000, .8370000000, .8200000000, .8180000000, .8150000000, .8130000000, .8110000000, .8060000000, .8010000000, .7990000000, .7960000000, .7880000000, .7870000000, .7850000000, .7850000000, .7780000000, .7760000000, .7760000000, .7750000000, .7680000000, .7680000000, .7650000000, .7650000000, .7630000000, .7630000000, .7590000000, .7580000000, .7550000000, .7550000000, .7490000000, .7470000000, .7400000000, .7390000000, .7370000000, .7310000000, .7290000000, .7280000000, .7240000000, .7230000000, .7210000000, .7010000000, .6990000000, .6960000000, .6930000000, .6910000000, .6910000000, .6890000000, .6880000000, .6790000000, .6780000000, .6760000000, .6670000000, .6660000000, .6660000000, .6620000000, .6610000000, .6560000000, .6540000000, .6510000000, .6490000000, .6420000000, .6410000000, .6400000000, .6300000000, .6280000000, .6200000000, .6160000000, .6150000000, .6100000000, .6090000000, .6060000000, .5980000000, .5970000000, .5960000000, .5880000000, .5870000000, .5810000000, .5800000000, .5800000000, .5660000000, .5650000000, .5600000000, .5590000000, .5590000000, .5580000000, .5560000000, .5550000000, .5510000000, .5500000000, .5500000000, .5470000000, .5400000000, .5370000000, 0.]
SsetkaDlyaVsehResh=[0., 0.1000000000e-2, 0.2000000000e-2, 0.3000000000e-2, 0.4000000000e-2, 0.5000000000e-2, 0.6000000000e-2, 0.7000000000e-2, 0.8000000000e-2, 0.9000000000e-2, 0.1000000000e-1, 0.1100000000e-1, 0.1200000000e-1, 0.1300000000e-1, 0.1400000000e-1, 0.1500000000e-1, 0.1600000000e-1, 0.1700000000e-1, 0.1800000000e-1, 0.1900000000e-1, 0.2000000000e-1, 0.2100000000e-1, 0.2200000000e-1, 0.2300000000e-1, 0.2400000000e-1, 0.2500000000e-1, 0.2600000000e-1, 0.2700000000e-1, 0.2800000000e-1, 0.2900000000e-1, 0.3000000000e-1, 0.3100000000e-1, 0.3200000000e-1, 0.3300000000e-1, 0.3400000000e-1, 0.3500000000e-1, 0.3600000000e-1, 0.3700000000e-1, 0.3800000000e-1, 0.3900000000e-1, 0.4000000000e-1, 0.4100000000e-1, 0.4200000000e-1, 0.4300000000e-1, 0.4400000000e-1, 0.4500000000e-1, 0.4600000000e-1, 0.4700000000e-1, 0.4800000000e-1, 0.4900000000e-1, 0.5000000000e-1, 0.5100000000e-1, 0.5200000000e-1, 0.5300000000e-1, 0.5400000000e-1, 0.5500000000e-1, 0.5600000000e-1, 0.5700000000e-1, 0.5800000000e-1, 0.5900000000e-1, 0.6000000000e-1, 0.6100000000e-1, 0.6200000000e-1, 0.6300000000e-1, 0.6400000000e-1, 0.6500000000e-1, 0.6600000000e-1, 0.6700000000e-1, 0.6800000000e-1, 0.6900000000e-1, 0.7000000000e-1, 0.7100000000e-1, 0.7200000000e-1, 0.7300000000e-1, 0.7400000000e-1, 0.7500000000e-1, 0.7600000000e-1, 0.7700000000e-1, 0.7800000000e-1, 0.7900000000e-1, 0.8000000000e-1, 0.8100000000e-1, 0.8200000000e-1, 0.8300000000e-1, 0.8400000000e-1, 0.8500000000e-1, 0.8600000000e-1, 0.8700000000e-1, 0.8800000000e-1, 0.8900000000e-1, 0.9000000000e-1, 0.9100000000e-1, 0.9200000000e-1, 0.9300000000e-1, 0.9400000000e-1, 0.9500000000e-1, 0.9600000000e-1, 0.9700000000e-1, 0.9800000000e-1, 0.9900000000e-1, .1000000000, .1010000000, .1020000000, .1030000000, .1040000000, .1050000000, .1060000000, .1070000000, .1080000000, .1090000000, .1100000000, .1110000000, .1120000000, .1130000000, .1140000000, .1150000000, .1160000000, .1170000000, .1180000000, .1190000000, .1200000000, .1210000000, .1220000000, .1230000000, .1240000000, .1250000000, .1260000000, .1270000000, .1280000000, .1290000000, .1300000000, .1310000000, .1320000000, .1330000000, .1340000000, .1350000000, .1360000000, .1370000000, .1380000000, .1390000000, .1400000000, .1410000000, .1420000000, .1430000000, .1440000000, .1450000000, .1460000000, .1470000000, .1480000000, .1490000000, .1500000000, .1510000000, .1520000000, .1530000000, .1540000000, .1550000000, .1560000000, .1570000000, .1580000000, .1590000000, .1600000000, .1610000000, .1620000000, .1630000000, .1640000000, .1650000000, .1660000000, .1670000000, .1680000000, .1690000000, .1700000000, .1710000000, .1720000000, .1730000000, .1740000000, .1750000000, .1760000000, .1770000000, .1780000000, .1790000000, .1800000000, .1810000000, .1820000000, .1830000000, .1840000000, .1850000000, .1860000000, .1870000000, .1880000000, .1890000000, .1900000000, .1910000000, .1920000000, .1930000000, .1940000000, .1950000000, .1960000000, .1970000000, .1980000000, .1990000000, .2000000000, .2010000000, .2020000000, .2030000000, .2040000000, .2050000000, .2060000000, .2070000000, .2080000000, .2090000000, .2100000000, .2110000000, .2120000000, .2130000000, .2140000000, .2150000000, .2160000000, .2170000000, .2180000000, .2190000000, .2200000000, .2210000000, .2220000000, .2230000000, .2240000000, .2250000000, .2260000000, .2270000000, .2280000000, .2290000000, .2300000000, .2310000000, .2320000000, .2330000000, .2340000000, .2350000000, .2360000000, .2370000000, .2380000000, .2390000000, .2400000000, .2410000000, .2420000000, .2430000000, .2440000000, .2450000000, .2460000000, .2470000000, .2480000000, .2490000000, .2500000000, .2510000000, .2520000000, .2530000000, .2540000000, .2550000000, .2560000000, .2570000000, .2580000000, .2590000000, .2600000000, .2610000000, .2620000000, .2630000000, .2640000000, .2650000000, .2660000000, .2670000000, .2680000000, .2690000000, .2700000000, .2710000000, .2720000000, .2730000000, .2740000000, .2750000000, .2760000000, .2770000000, .2780000000, .2790000000, .2800000000, .2810000000, .2820000000, .2830000000, .2840000000, .2850000000, .2860000000, .2870000000, .2880000000, .2890000000, .2900000000, .2910000000, .2920000000, .2930000000, .2940000000, .2950000000, .2960000000, .2970000000, .2980000000, .2990000000, .3000000000, .3010000000, .3020000000, .3030000000, .3040000000, .3050000000, .3060000000, .3070000000, .3080000000, .3090000000, .3100000000, .3110000000, .3120000000, .3130000000, .3140000000, .3150000000, .3160000000, .3170000000, .3180000000, .3190000000, .3200000000, .3210000000, .3220000000, .3230000000, .3240000000, .3250000000, .3260000000, .3270000000, .3280000000, .3290000000, .3300000000, .3310000000, .3320000000, .3330000000, .3340000000, .3350000000, .3360000000, .3370000000, .3380000000, .3390000000, .3400000000, .3410000000, .3420000000, .3430000000, .3440000000, .3450000000, .3460000000, .3470000000, .3480000000, .3490000000, .3500000000, .3510000000, .3520000000, .3530000000, .3540000000, .3550000000, .3560000000, .3570000000, .3580000000, .3590000000, .3600000000, .3610000000, .3620000000, .3630000000, .3640000000, .3650000000, .3660000000, .3670000000, .3680000000, .3690000000, .3700000000, .3710000000, .3720000000, .3730000000, .3740000000, .3750000000, .3760000000, .3770000000, .3780000000, .3790000000, .3800000000, .3810000000, .3820000000, .3830000000, .3840000000, .3850000000, .3860000000, .3870000000, .3880000000, .3890000000, .3900000000, .3910000000, .3920000000, .3930000000, .3940000000, .3950000000, .3960000000, .3970000000, .3980000000, .3990000000, .4000000000, .4010000000, .4020000000, .4030000000, .4040000000, .4050000000, .4060000000, .4070000000, .4080000000, .4090000000, .4100000000, .4110000000, .4120000000, .4130000000, .4140000000, .4150000000, .4160000000, .4170000000, .4180000000, .4190000000, .4200000000, .4210000000, .4220000000, .4230000000, .4240000000, .4250000000, .4260000000, .4270000000, .4280000000, .4290000000, .4300000000, .4310000000, .4320000000, .4330000000, .4340000000, .4350000000, .4360000000, .4370000000, .4380000000, .4390000000, .4400000000, .4410000000, .4420000000, .4430000000, .4440000000, .4450000000, .4460000000, .4470000000, .4480000000, .4490000000, .4500000000, .4510000000, .4520000000, .4530000000, .4540000000, .4550000000, .4560000000, .4570000000, .4580000000, .4590000000, .4600000000, .4610000000, .4620000000, .4630000000, .4640000000, .4650000000, .4660000000, .4670000000, .4680000000, .4690000000, .4700000000, .4710000000, .4720000000, .4730000000, .4740000000, .4750000000, .4760000000, .4770000000, .4780000000, .4790000000, .4800000000, .4810000000, .4820000000, .4830000000, .4840000000, .4850000000, .4860000000, .4870000000, .4880000000, .4890000000, .4900000000, .4910000000, .4920000000, .4930000000, .4940000000, .4950000000, .4960000000, .4970000000, .4980000000, .4990000000, .5000000000, .5010000000, .5020000000, .5030000000, .5040000000, .5050000000, .5060000000, .5070000000, .5080000000, .5090000000, .5100000000, .5110000000, .5120000000, .5130000000, .5140000000, .5150000000, .5160000000, .5170000000, .5180000000, .5190000000, .5200000000, .5210000000, .5220000000, .5230000000, .5240000000, .5250000000, .5260000000, .5270000000, .5280000000, .5290000000, .5300000000, .5310000000, .5320000000, .5330000000, .5340000000, .5350000000, .5360000000, .5370000000, .5380000000, .5390000000, .5400000000, .5410000000, .5420000000, .5430000000, .5440000000, .5450000000, .5460000000, .5470000000, .5480000000, .5490000000, .5500000000, .5510000000, .5520000000, .5530000000, .5540000000, .5550000000, .5560000000, .5570000000, .5580000000, .5590000000, .5600000000, .5610000000, .5620000000, .5630000000, .5640000000, .5650000000, .5660000000, .5670000000, .5680000000, .5690000000, .5700000000, .5710000000, .5720000000, .5730000000, .5740000000, .5750000000, .5760000000, .5770000000, .5780000000, .5790000000, .5800000000, .5810000000, .5820000000, .5830000000, .5840000000, .5850000000, .5860000000, .5870000000, .5880000000, .5890000000, .5900000000, .5910000000, .5920000000, .5930000000, .5940000000, .5950000000, .5960000000, .5970000000, .5980000000, .5990000000, .6000000000, .6010000000, .6020000000, .6030000000, .6040000000, .6050000000, .6060000000, .6070000000, .6080000000, .6090000000, .6100000000, .6110000000, .6120000000, .6130000000, .6140000000, .6150000000, .6160000000, .6170000000, .6180000000, .6190000000, .6200000000, .6210000000, .6220000000, .6230000000, .6240000000, .6250000000, .6260000000, .6270000000, .6280000000, .6290000000, .6300000000, .6310000000, .6320000000, .6330000000, .6340000000, .6350000000, .6360000000, .6370000000, .6380000000, .6390000000, .6400000000, .6410000000, .6420000000, .6430000000, .6440000000, .6450000000, .6460000000, .6470000000, .6480000000, .6490000000, .6500000000, .6510000000, .6520000000, .6530000000, .6540000000, .6550000000, .6560000000, .6570000000, .6580000000, .6590000000, .6600000000, 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#------------------------
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#------------------------ЕСТЕСТВЕННОЕ УСЛОВИЕ
#+
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0.1390557455, 0.1379564849, 0.1368607935, 0.1357686547, 0.1346800511, 0.1335949686, 0.132513386, 0.131435288, 0.1303606591, 0.1292894797, 0.1282217341, 0.1271574033, 0.126096472, 0.1250389204, 0.1239847322, 0.1229338898, 0.1218863734, 0.1208421668, 0.1198012513, 0.1187636091, 0.117729221, 0.116698069, 0.1156701342, 0.1146453985, 0.1136238435, 0.1126054484, 0.111590196, 0.1105780657, 0.10956904, 0.1085630967, 0.1075602191, 0.106560387, 0.1055635775, 0.1045697726, 0.1035789534, 0.1025910975, 0.1016061856, 0.1006241948, 0.09964510719, 0.09866889934, 0.09769555085, 0.09672504104, 0.09575734563, 0.09479244535, 0.0938303173, 0.09287093831, 0.09191428687, 0.09096033776, 0.09000907153, 0.08906046161, 0.08811448515, 0.0871711196, 0.08623033934, 0.08529212105, 0.08435643971, 0.08342326915, 0.08249258418, 0.08156435915, 0.08063856798, 0.07971518549, 0.0787941833, 0.07787553179, 0.07695920778, 0.07604517924, 0.07513341984, 0.07422389919, 0.07331658703, 0.07241145673, 0.07150847317, 0.07060760777, 0.06970882691, 0.06881209845, 0.06791739095, 0.06702466857, 0.06613389758, 0.06524504195, 0.06435806843, 0.06347293699, 0.06258961037, 0.061708051, 0.06082821806, 0.05995007263, 0.05907357391, 0.05819867538, 0.05732533679, 0.05645351056, 0.05558315222, 0.05471421284, 0.05384664346, 0.05298039192, 0.05211540904, 0.05125163995, 0.05038902629, 0.04952751311, 0.04866704021, 0.04780754275, 0.04694895897, 0.04609122215, 0.04523426287, 0.04437800629, 0.04352238011, 0.04266730547, 0.04181269824, 0.0409584729, 0.04010454307, 0.03925081048, 0.0383971778, 0.03754354005, 0.03668978822, 0.0358358089, 0.03498147696, 0.03412666332, 0.033271231, 0.03241503432, 0.03155791717, 0.03069971909, 0.02984025648, 0.02897933987, 0.02811676909, 0.02725232171, 0.02638576088, 0.0255168259, 0.02464523973, 0.02377069094, 0.02289284791, 0.02201133742, 0.02112575366, 0.02023563931, 0.01934048739, 0.01843972562, 0.0175327063, 0.01661869598, 0.01569684129, 0.01476616064, 0.01382550072, 0.01287348527, 0.01190846346, 0.01092840519, 0.009930765936, 0.008912286404, 0.007868633969, 0.006793829993, 0.005679114059, 0.004510604459, 0.003263262699, 0.001879568608, 0]
#---------------------------
#решение с f альфа производными
FalphaSol01=[1., .9280000000, .9190000000, .9100000000, .9070000000, .9040000000, .8580000000, .8560000000, .8540000000, .8480000000, .8460000000, .8390000000, .8370000000, .8370000000, .8330000000, .8310000000, .8130000000, .8100000000, .8060000000, .8010000000, .7950000000, .7930000000, .7910000000, .7630000000, .7610000000, .7580000000, .7550000000, .7310000000, .7300000000, .7290000000, .7260000000, .7240000000, .7220000000, .7220000000, .7140000000, .7080000000, .7060000000, .7030000000, .7020000000, .6700000000, .6690000000, .6680000000, .6670000000, .6660000000, .6650000000, .6650000000, .6600000000, .6580000000, .6570000000, .6550000000, .6280000000, .6260000000, .6240000000, .6240000000, .6190000000, .6180000000, .6170000000, .6140000000, .6130000000, .6060000000, .6060000000, .6050000000, .6040000000, .5970000000, .5960000000, .5940000000, .5910000000, .5880000000, .5870000000, .5740000000, .5730000000, .5720000000, .5690000000, .5550000000, .5390000000, .5390000000, .5360000000, 0.]
FalphaSol005=[1., .9910000000, .9820000000, .9770000000, .9730000000, .9530000000, .9380000000, .9280000000, .9250000000, .9160000000, .9010000000, .8980000000, .8820000000, .8820000000, .8800000000, .8770000000, .8700000000, .8680000000, .8460000000, .8430000000, .8390000000, .8370000000, .8370000000, .8200000000, .8180000000, .8150000000, .8130000000, .8110000000, .8060000000, .8010000000, .7990000000, .7960000000, .7880000000, .7870000000, .7850000000, .7850000000, .7780000000, .7760000000, .7760000000, .7750000000, .7680000000, .7680000000, .7650000000, .7650000000, .7630000000, .7630000000, .7590000000, .7580000000, .7550000000, .7550000000, .7490000000, .7470000000, .7400000000, .7390000000, .7370000000, .7310000000, .7290000000, .7280000000, .7240000000, .7230000000, .7210000000, .7010000000, .6990000000, .6960000000, .6930000000, .6910000000, .6910000000, .6890000000, .6880000000, .6790000000, .6780000000, .6760000000, .6670000000, .6660000000, .6660000000, .6620000000, .6610000000, .6560000000, .6540000000, .6510000000, .6490000000, .6420000000, .6410000000, .6400000000, .6300000000, .6280000000, .6200000000, .6160000000, .6150000000, .6100000000, .6090000000, .6060000000, .5980000000, .5970000000, .5960000000, .5880000000, .5870000000, .5810000000, .5800000000, .5800000000, .5660000000, .5650000000, .5600000000, .5590000000, .5590000000, .5580000000, .5560000000, .5550000000, .5510000000, .5500000000, .5500000000, .5470000000, .5400000000, .5370000000, 0.]
sigma01=[0, 0.01701452824, 0.02003996187, 0.02317104403, 0.02438677733, 0.02562136429, 0.04321602114, 0.04467434255, 0.04590812097, 0.04866697337, 0.0493804554, 0.05202275582, 0.05313458841, 0.05356338545, 0.0550645239, 0.05601559221, 0.06602515008, 0.0689198108, 0.07079866303, 0.07383309055, 0.07703609084, 0.0782652198, 0.07949670827, 0.09834641289, 0.1003972657, 0.1024555288, 0.1045183788, 0.1239293337, 0.1247582191, 0.1259960032, 0.1287574144, 0.1298189545, 0.1315310868, 0.1319591413, 0.1380371964, 0.1444528901, 0.1465400791, 0.1482546668, 0.1497356467, 0.182843107, 0.1839129326, 0.184648229, 0.1856764081, 0.1867038134, 0.1874541381, 0.1879306917, 0.1930687969, 0.1954409078, 0.1969406299, 0.198690943, 0.2317984032, 0.2335129819, 0.2350100235, 0.2359815453, 0.2369759204, 0.2428863228, 0.2437041016, 0.2447039495, 0.2481359401, 0.2495282315, 0.258305485, 0.2590275492, 0.2597622902, 0.260814567, 0.2618220383, 0.2715202625, 0.2725529141, 0.2742707021, 0.2758554371,0.2792141522, 0.2824233591, 0.2836470517, 0.2848843726, 0.3024668792, 0.3038599138, 0.3051621717, 0.3074486766, 0.3094887837, 0.3294388444, 0.3313502034, 0.3349828832, 0.3377129545, 0.3514417248, 0.3524836225, 0.3528946558, 0.3546141683, 0.3560858409, 0.3891933011, 0.3909078798, 0.3926383399, 0.3946981068, 0.4006756374, 0.4028019501, 0.4083924682, 0.4176833501, 0.4341889575]
sigma005=[0, 0.001712292217, 0.003187258397, 0.00426834073, 0.005666180747, 0.01076693522, 0.01439504481, 0.01766065087, 0.01867200149, 0.02113725979, 0.02612612901, 0.02758684733, 0.03307467239, 0.03350817579, 0.03443439764, 0.03513000896, 0.0386638205, 0.03969157334, 0.04946102197, 0.05026357509, 0.05227714248, 0.05330042672, 0.05356585003, 0.06266609002, 0.06361193797, 0.06546591233, 0.06684316085, 0.06706629948, 0.07012388608, 0.07337788875, 0.07413401016, 0.07690605779, 0.0819134435, 0.08233250532, 0.08324013084, 0.0839982878, 0.08822684399, 0.08900261776, 0.08973678768, 0.09022147968, 0.09521630249, 0.09569338287, 0.09741323565, 0.09783571952, 0.09833500986, 0.09848329209, 0.1012310528, 0.1020681591, 0.1040287458, 0.1044660382, 0.1099752748, 0.1108301968, 0.1168815945, 0.1175748864, 0.1180278519, 0.1231651531, 0.1254996448, 0.1265724311, 0.1293351275, 0.1305837193, 0.1320255153, 0.1502271534, 0.1524950656, 0.1557631002, 0.1588899112, 0.1600546757, 0.1604614694, 0.162173628, 0.1632531729, 0.1723608065, 0.1737151767, 0.1754324156, 0.1768236056, 0.1855913037, 0.1863391627, 0.1867494219, 0.1902060918, 0.1910856934, 0.1924853126, 0.1979755074, 0.2001319982, 0.2035895312, 0.2050186159, 0.2141496819, 0.215114857, 0.2165770313, 0.2287200565, 0.2304148415, 0.2312407824, 0.240906638, 0.2419859587, 0.2455810322, 0.2464178365, 0.2473204322, 0.2532710764, 0.2546550578, 0.2551152191, 0.2585625969, 0.2599344507, 0.2691264418, 0.2701566479, 0.2715178414, 0.2727719617, 0.282152579, 0.2832041899, 0.2849327391, 0.2868021134, 0.289844962, 0.2928797345, 0.2941396461, 0.2949555956,0.3132318419, 0.3146787882, 0.3155291811, 0.3224152067, 0.3234215117, 0.3238456195, 0.325587708, 0.3271114128, 0.3281331878, 0.3290782993, 0.3346409622, 0.3351862867, 0.3360905001, 0.3368455421, 0.3403162727, 0.3416852545, 0.3502669211, 0.3518626406, 0.3553006389, 0.3574302543, 0.3634027572, 0.3655267, 0.3706533182, 0.3801517644, 0.3812645174, 0.3828666521, 0.3842572158,0.3927619682, 0.3931800765, 0.3942098599, 0.3959502724, 0.3963573172, 0.3976711532, 0.4006936672, 0.4039498932, 0.4047089066, 0.4066708314, 0.4071048928, 0.4120942777, 0.4126041114, 0.4131206195, 0.4136914614, 0.4187086583, 0.4200763827, 0.4205143282, 0.4252363655, 0.4259807333, 0.4277843619, 0.4286141912, 0.4319625277, 0.4356472973, 0.4406898461, 0.4431375476, 0.4447407188, 0.4455845394, 0.4464167501]
def LinearInterpSolFalphaFunction005(t):
global FalphaSol005, SubdivizionTrue005
N=len(FalphaSol005)
if t>=SubdivizionTrue005[N-2]:
return(0)
for i in range(0,N-2):
if t<=SubdivizionTrue005[i+1] and t>=SubdivizionTrue005[i]:
return((FalphaSol005[i] - FalphaSol005[i + 1]) / (SubdivizionTrue005[i] - SubdivizionTrue005[i + 1])*t+(SubdivizionTrue005[i] * FalphaSol005[i + 1] - SubdivizionTrue005[i + 1] * FalphaSol005[i]) / (SubdivizionTrue005[i] - SubdivizionTrue005[i + 1]))
def LinearInterpSolFalphaFunction01(t):
global sigma01, SubdivizionTrue01
N=len(FalphaSol01)
if t>=SubdivizionTrue01[N-2]:
return(0)
for i in range(0,N-2):
if t<=SubdivizionTrue01[i+1] and t>=SubdivizionTrue01[i]:
return((FalphaSol01[i] - FalphaSol01[i + 1]) / (SubdivizionTrue01[i] - SubdivizionTrue01[i + 1])*t+(SubdivizionTrue01[i] * FalphaSol01[i + 1] - SubdivizionTrue01[i + 1] * FalphaSol01[i]) / (SubdivizionTrue01[i] - SubdivizionTrue01[i + 1]))
def LinearInterpMeasureFunction01(t):
global sigma01, SubdivizionTrue01
N=len(SubdivizionTrue01)
for i in range(0,N-1):
if t<=SubdivizionTrue01[i+1] and t>=SubdivizionTrue01[i]:
return((sigma01[i] - sigma01[i + 1]) / (SubdivizionTrue01[i] - SubdivizionTrue01[i + 1])*t+(SubdivizionTrue01[i] * sigma01[i + 1] - SubdivizionTrue01[i + 1] * sigma01[i]) / (SubdivizionTrue01[i] - SubdivizionTrue01[i + 1]))
def LinearInterpMeasureFunction005(t):
global sigma005, SubdivizionTrue005
N=len(SubdivizionTrue005)
for i in range(0,N-1):
if t<=SubdivizionTrue005[i+1] and t>=SubdivizionTrue005[i]:
return((sigma005[i] - sigma005[i + 1]) / (SubdivizionTrue005[i] - SubdivizionTrue005[i + 1])*t+(SubdivizionTrue005[i] * sigma005[i + 1] - SubdivizionTrue005[i + 1] * sigma005[i]) / (SubdivizionTrue005[i] - SubdivizionTrue005[i + 1]))
# массовые функции со степенными законами
def M01(t,xfr):
a=LinearInterpMeasureFunction01(xfr)*xfr**(-1.2618)
f=a*t**1.2618
return(f)
def M005(t,xfr):
a=LinearInterpMeasureFunction005(xfr)*xfr**(-1.2618)
f=a*t**1.2618
return(f)
def FindDelta_delta01(xfr):
global sigma01, SubdivizionTrue01
N=len(sigma01)
for i in range(0,N-1):
if SubdivizionTrue01[i]<=xfr and SubdivizionTrue01[i+1]>xfr:
N1=i
if xfr==1:
N1=N
mmin=min([sigma01[i+1]-sigma01[i] for i in range(0,N1-1)])
mmax=max([sigma01[i+1]-sigma01[i] for i in range(0,N1-1)])
return(mmin,mmax)
def FindDelta_delta005(xfr):
global sigma005, SubdivizionTrue005
N=len(sigma005)
for i in range(0,N-1):
if SubdivizionTrue005[i]<=xfr and SubdivizionTrue005[i+1]>xfr:
N1=i
if xfr==1:
N1=N
mmin=min([sigma005[i+1]-sigma005[i] for i in range(0,N1-1)])
mmax=max([sigma005[i+1]-sigma005[i] for i in range(0,N1-1)])
return(mmin,mmax)
#---------------------------
#решение сО степенными законами
#------------------------------------------------------------------НАЧАЛО расчетной части построения фрактала
ChZnPoZap=3
ShagT=1/10**ChZnPoZap
ChisloUzlovFractala=int(10**ChZnPoZap)
ChiUzFrFloat=10**ChZnPoZap
Pi = 3.1415926
def dig (t, n):
s = t
for i in range(1, n + 1):
p = ma.trunc(2 * s)
s = 2 * s - p
return(p)
def TaTau (t, n):
r = 0
for k in range(2 * n + 2, 31):
r = r + dig(t, k) / 2 ** (k - 2 * n)
return(r)
def g (a, b):
return((-1) ** a * (a - b) ** 2)
def complexExp (a):
return(ma.cos(a)+complex(0,1)*ma.sin(a))
def Koch (n, t):
alpha = Pi / 3
c = 1 / (2 + 2 * ma.cos(alpha))
r1 = 0
r1 = 0
for j in range(1, n + 1):
r2 = 0
for k in range(1, j - 1 + 1):
r2 = r2 + g(dig(t, 2 * k - 1), dig(t, 2 * k))
r1 = r1 + c ** (j - 1) * (dig(t, 2 * j - 1) * (dig(t, 2 * j - 1) + dig(t, 2 * j)) / 2 + (-1) ** dig(t, 2 * j - 1) * dig(t, 2 * j) * c + complex(0, 1) * dig(t, 2 * j - 1) * (1 - dig(t, 2 * j)) * c * ma.sin(alpha)) * complexExp(alpha * r2)
r = 0
for k in range(1, n + 1):
r = r + g(dig(t, 2 * k - 1), dig(t, 2 * k))
return(c ** n * TaTau(t, n) * complexExp(alpha * r) + r1)
#значения параметра
zz = np.zeros(ChisloUzlovFractala+2)
zz[0]=0
j=0
while zz[j]<1:
j=j+1
zz[j]=zz[j-1]+ShagT
RRR=[Koch (6, zz[i]) for i in range(0,ChisloUzlovFractala)]
RRR.append(complex(1,0))
xFrac = []
yFrac = []
for i in range(0,ChisloUzlovFractala+1):
xFrac.append(RRR[i].real)
yFrac.append(RRR[i].imag)
ChisloUzlovFractala=len(xFrac)
l1=str(xFrac)
l2=str(yFrac)
f = open('textfile_Koha.txt', 'tw', encoding='utf-8')
for index in l1:
f.write(index)
for index in l2:
f.write(index)
f.close()
def KoxaFunction(t):
global ChisloUzlovFractala, xFrac, yFrac
tt=int(t*(ChisloUzlovFractala-1))
if tt==ChisloUzlovFractala:
return(1,0)
return(xFrac[tt],yFrac[tt])
#-----------------------------------------------------------------КОНЕЦ расчетной части построения фрактала
#------------------------------------------------------------------------------------------линейная интерполяция
#фрактальная часть
def LinearInterpSol(t,localSol):
global SsetkaDlyaVsehResh
N=len(SsetkaDlyaVsehResh)
if t>=SsetkaDlyaVsehResh[N-2]:
return(0)
for i in range(0,N-2):
if t<=SsetkaDlyaVsehResh[i+1] and t>=SsetkaDlyaVsehResh[i]:
return((localSol[i] - localSol[i + 1]) / (SsetkaDlyaVsehResh[i] - SsetkaDlyaVsehResh[i + 1])*t+(SsetkaDlyaVsehResh[i] * localSol[i + 1] - SsetkaDlyaVsehResh[i + 1] * localSol[i]) / (SsetkaDlyaVsehResh[i] - SsetkaDlyaVsehResh[i + 1]))
#-------------------------подготовка данных для отрисовки
t =np.linspace(0, 1, ChisloUzlovFractala)
#объявляем переменные
#-----------------------решения
plotSolFalpha01_005 = np.linspace(0, 1, ChisloUzlovFractala)
plotSolFalpha01_01 = np.linspace(0, 1, ChisloUzlovFractala)
plotSolFalpha01_015 = np.linspace(0, 1, ChisloUzlovFractala)
plotSolFalpha01_02 = np.linspace(0, 1, ChisloUzlovFractala)
plotSolFalpha005_005 = np.linspace(0, 1, ChisloUzlovFractala)
plotSolFalpha005_01 = np.linspace(0, 1, ChisloUzlovFractala)
plotSolFalpha005_015 = np.linspace(0, 1, ChisloUzlovFractala)
plotSolFalpha005_02 = np.linspace(0, 1, ChisloUzlovFractala)
plotSolPower01_005 = np.linspace(0, 1, ChisloUzlovFractala)
plotSolPower01_01 = np.linspace(0, 1, ChisloUzlovFractala)
plotSolPower01_015 = np.linspace(0, 1, ChisloUzlovFractala)
plotSolPower01_02 = np.linspace(0, 1, ChisloUzlovFractala)
plotSolPower005_005 = np.linspace(0, 1, ChisloUzlovFractala)
plotSolPower005_01 = np.linspace(0, 1, ChisloUzlovFractala)
plotSolPower005_015 = np.linspace(0, 1, ChisloUzlovFractala)
plotSolPower005_02 = np.linspace(0, 1, ChisloUzlovFractala)
#------------------------массы фрактала и степенной
plotMeasure01 = np.linspace(0, 1, ChisloUzlovFractala)
plotMeasure005 = np.linspace(0, 1, ChisloUzlovFractala)
plotMassPower01_005 = np.linspace(0, 1, ChisloUzlovFractala)
plotMassPower01_01 = np.linspace(0, 1, ChisloUzlovFractala)
plotMassPower01_015 = np.linspace(0, 1, ChisloUzlovFractala)
plotMassPower01_02 = np.linspace(0, 1, ChisloUzlovFractala)
plotMassPower005_005 = np.linspace(0, 1, ChisloUzlovFractala)
plotMassPower005_01 = np.linspace(0, 1, ChisloUzlovFractala)
plotMassPower005_015 = np.linspace(0, 1, ChisloUzlovFractala)
plotMassPower005_02 = np.linspace(0, 1, ChisloUzlovFractala)
plotWrongSolFalpha005_005 = np.linspace(0, 1, ChisloUzlovFractala)
plotWrongSolFalpha005_01 = np.linspace(0, 1, ChisloUzlovFractala)
plotWrongSolFalpha005_015 = np.linspace(0, 1, ChisloUzlovFractala)
plotWrongSolFalpha005_02 = np.linspace(0, 1, ChisloUzlovFractala)
plotWrongSolPower005_005 = np.linspace(0, 1, ChisloUzlovFractala)
plotWrongSolPower005_01 = np.linspace(0, 1, ChisloUzlovFractala)
plotWrongSolPower005_015 = np.linspace(0, 1, ChisloUzlovFractala)
plotWrongSolPower005_02 = np.linspace(0, 1, ChisloUzlovFractala)
plotWhithoutStickFalphaSol01_005=np.linspace(0, 1, ChisloUzlovFractala)
plotWhithoutStickPowerSol01_005=np.linspace(0, 1, ChisloUzlovFractala)
#заполняем переменные
for i in range(0,ChisloUzlovFractala):
#-----------------------решения
plotSolFalpha01_005[i]=LinearInterpSol(t[i],FalphaSol01_005)
plotSolFalpha01_01[i]=LinearInterpSol(t[i],FalphaSol01_01)
plotSolFalpha01_015[i]=LinearInterpSol(t[i],FalphaSol01_015)
plotSolFalpha01_02[i]=LinearInterpSol(t[i],FalphaSol01_02)
plotSolFalpha005_005[i]=LinearInterpSol(t[i],FalphaSol005_005)
plotSolFalpha005_01[i]=LinearInterpSol(t[i],FalphaSol005_01)
plotSolFalpha005_015[i]=LinearInterpSol(t[i],FalphaSol005_015)
plotSolFalpha005_02[i]=LinearInterpSol(t[i],FalphaSol005_02)
plotSolPower01_005[i]=LinearInterpSol(t[i],PowerSol01_005)
plotSolPower01_01[i]=LinearInterpSol(t[i],PowerSol01_01)
plotSolPower01_015[i]=LinearInterpSol(t[i],PowerSol01_015)
plotSolPower01_02[i]=LinearInterpSol(t[i],PowerSol01_02)
plotSolPower005_005[i]=LinearInterpSol(t[i],PowerSol005_005)
plotSolPower005_01[i]=LinearInterpSol(t[i],PowerSol005_01)
plotSolPower005_015[i]=LinearInterpSol(t[i],PowerSol005_015)
plotSolPower005_02[i]=LinearInterpSol(PowerSol005_02[i],t)
#------------------------массовая функция для фрактала
plotMeasure01[i]=LinearInterpMeasureFunction01(t[i])
plotMeasure005[i]=LinearInterpMeasureFunction005(t[i])
#------------------------массы степенной
plotMassPower01_005[i] = M01(t[i],FalphaSol01_005[0])
plotMassPower01_01[i] = M01(t[i],FalphaSol01_01[0])
plotMassPower01_015[i] = M01(t[i],FalphaSol01_015[0])
plotMassPower01_02[i] = M01(t[i],FalphaSol01_02[0])
plotMassPower005_005[i] = M005(t[i],FalphaSol005_005[0])
plotMassPower005_01[i] = M005(t[i],FalphaSol005_01[0])
plotMassPower005_015[i] = M005(t[i],FalphaSol005_015[0])
plotMassPower005_02[i] = M005(t[i],FalphaSol005_02[0])
#-----------------------Естественное
plotWrongSolFalpha005_005[i]=LinearInterpSol(t[i],WrongFalphaSol005_005)
plotWrongSolFalpha005_01[i]=LinearInterpSol(t[i],WrongFalphaSol005_01)
plotWrongSolFalpha005_015[i]=LinearInterpSol(t[i],WrongFalphaSol005_015)
plotWrongSolFalpha005_02[i]=LinearInterpSol(t[i],WrongFalphaSol005_02)
plotWrongSolPower005_005[i]=LinearInterpSol(t[i],WrongPowerSol005_005)
plotWrongSolPower005_01[i]=LinearInterpSol(t[i],WrongPowerSol005_01)
plotWrongSolPower005_015[i]=LinearInterpSol(t[i],WrongPowerSol005_015)
plotWrongSolPower005_02[i]=LinearInterpSol(WrongPowerSol005_02[i],t)
#-----------------------Без палки (скачка насыщенности)
plotWhithoutStickFalphaSol01_005[i]=LinearInterpSol(t[i],WhithoutStickFalphaSol01_005)
plotWhithoutStickPowerSol01_005[i]=LinearInterpSol(t[i],WhithoutStickPowerSol01_005)
#------------------для отрисовки фрактала
plotSolFalpha01 = np.linspace(0, 1, ChisloUzlovFractala)
plotSolFalpha005 = np.linspace(0, 1, ChisloUzlovFractala)
for i in range(0,ChisloUzlovFractala):
plotSolFalpha005[i]=LinearInterpSolFalphaFunction005(t[i])
for i in range(0,ChisloUzlovFractala):
plotSolFalpha01[i]=LinearInterpSolFalphaFunction01(t[i])
#-------------------------------------------------------------------------------------------КОНЕЦ подготовки данных для отрисовки
#-------------------------------------------------------------------------------------------КОНЕЦ подготовки данных для отрисовки
#-------------------------------------------------------------------------------------------КОНЕЦ подготовки данных для отрисовки
# ------------------- ГРАФИКИ РЕШЕНИЙ В 3Д
fig1 = plt.figure(figsize=plt.figaspect(2.))
# 1 subplot (3d)--------------------------------
ax = fig1.add_subplot(1, 1, 1, projection='3d')
# Get rid of colored axes planes
# First remove fill
ax.xaxis.pane.fill = False
ax.yaxis.pane.fill = False
ax.zaxis.pane.fill = False
# Now set color to white (or whatever is "invisible")
ax.xaxis.pane.set_edgecolor('w')
ax.yaxis.pane.set_edgecolor('w')
ax.zaxis.pane.set_edgecolor('w')
mpl.rcParams['legend.fontsize'] = 12
ax.plot(xFrac, yFrac, plotSolFalpha005, label=r"$\overline{s}(x,t)$ for $\delta_1, \Delta_1$", color='xkcd:deep brown')
ax.plot(xFrac, yFrac, plotSolFalpha01, label=r"$\overline{s}(x,t)$ for $\delta_2, \Delta_2$", color='grey')
ax.plot(xFrac, yFrac, 0, color='black')
ax.set_xlabel(r"$Y^1$",fontsize=14)
ax.set_ylabel(r"$Y^2$",fontsize=14)
ax.set_zlabel(r"$Saturation$",fontsize=14)
ax.legend()
#------------------------------------------------------------------------------------------------------------
# ------------------- ГРАФИКИ РЕШЕНИЙ ДЛЯ РАЗНЫХ ДЕЛЬТ
#------------------------------------------------------------------------------------------------------------
#------------------------------------------------------------------------------------------------------------
#-----------------------------------------------------------------ДЕЛЬТА 0.018
#------------------------------------------------------------------------------------------------------------
fig2, (axMass,axSatur) = plt.subplots(2, 1,figsize=(4,8))
axMass.set_title('(a)',fontsize=15)
axSatur.set_title('(b)',fontsize=15)
# 1 subplot (2d)--------------------
g1=axMass.plot(t, plotMassPower005_005, color='red',dashes=[6, 2])[0]
g2=axSatur.plot(plotSolFalpha005_005,t, color='blue')[0]
g3=axMass.plot([FalphaSol005_005[0]], [M01(FalphaSol005_005[0],FalphaSol005_005[0])], marker="o", color='black')[0]
fig2.legend([g1, g2, g3],[r"Power-law model",r"$F^{\alpha}-model$", r"$F^{\alpha}-model$ discontinuity"], # The labels for each line
loc="upper left", bbox_to_anchor=(0.5,0.63), # Position of legend
borderaxespad=0.1 # Small spacing around legend box
)
fig2.legend([g1, g2, g3],[r"Power-law model",r"$F^{\alpha}-model$", r"$F^{\alpha}-model$ discontinuity"], # The labels for each line
loc="upper left", bbox_to_anchor=(0.5,0.46), # Position of legend
borderaxespad=0.1 # Small spacing around legend box
)
#графики масс
axMass.plot(t, plotMassPower005_01, color='red',dashes=[6, 2])
axMass.plot(t, plotMassPower005_015, color='red',dashes=[6, 2])
axMass.plot(t, plotMassPower005_02, color='red',dashes=[6, 2])
axMass.plot(t, plotMeasure005, color='b')
#маркеры для масс
axMass.plot([FalphaSol005_005[0]], [M005(FalphaSol005_005[0],FalphaSol005_005[0])], marker="o", color='black')
axMass.plot([FalphaSol005_01[0]], [M005(FalphaSol005_01[0],FalphaSol005_01[0])], marker="o", color='black')
axMass.plot([FalphaSol005_015[0]], [M005(FalphaSol005_015[0],FalphaSol005_015[0])], marker="o", color='black')
axMass.plot([FalphaSol005_02[0]], [M005(FalphaSol005_02[0],FalphaSol005_02[0])], marker="o", color='black')
axMass.grid(True)
axMass.set_xlim(0, 0.75)
axMass.set_ylim(0, 0.4)
axMass.set_ylabel('Mass functions',fontsize=14)
# 2 subplot (2d)-----------------------графики насыщенностей
axSatur.plot(plotSolFalpha005_005,t, color='blue')
axSatur.text(0, 0.1, "$t'=0.05$",fontsize=13)
axSatur.text(0, 0.2, "$\delta'=$"+str(round(FindDelta_delta005(FalphaSol005_005[1])[1],5)),fontsize=13)
axSatur.text(0, 0.3, "$\Delta'=$"+str(round(FindDelta_delta005(FalphaSol005_005[1])[0],5)),fontsize=13)
axSatur.plot(plotSolFalpha005_01,t, color='b')
axSatur.text(FalphaSol005_01[1]-0.12, 0.1, "$0.1$",fontsize=13)
axSatur.text(FalphaSol005_01[1]-0.12, 0.2, str(round(FindDelta_delta005(FalphaSol005_01[1])[1],5)),fontsize=13)
axSatur.text(FalphaSol005_01[1]-0.12, 0.3, str(round(FindDelta_delta005(FalphaSol005_01[1])[0],5)),fontsize=13)
axSatur.plot(plotSolFalpha005_015,t, color='b')
axSatur.text(FalphaSol005_015[1]-0.12, 0.1, "$0.15$",fontsize=13)
axSatur.text(FalphaSol005_015[1]-0.12, 0.2, str(round(FindDelta_delta005(FalphaSol005_015[1])[1],5)),fontsize=13)
axSatur.text(FalphaSol005_015[1]-0.12, 0.3, str(round(FindDelta_delta005(FalphaSol005_015[1])[0],5)),fontsize=13)
axSatur.plot(plotSolFalpha005_02,t, color='b')
axSatur.text(FalphaSol005_02[1]-0.12, 0.1, "$0.2$",fontsize=13)
axSatur.text(FalphaSol005_02[1]-0.12, 0.2, str(round(FindDelta_delta005(FalphaSol005_02[1])[1],5)),fontsize=13)
axSatur.text(FalphaSol005_02[1]-0.12, 0.3, str(round(FindDelta_delta005(FalphaSol005_02[1])[0],5)),fontsize=13)
axSatur.plot(plotSolPower005_005,t, color='red',dashes=[6, 2])
axSatur.plot(plotSolPower005_01,t, color='red',dashes=[6, 2])
axSatur.plot(plotSolPower005_015,t, color='red',dashes=[6, 2])
axSatur.plot(plotSolPower005_02,t, color='red',dashes=[6, 2])
#маркеры для насыщенностей
axSatur.plot([FalphaSol005_005[0]], [0.51], marker="o", color='black')
axSatur.plot([FalphaSol005_01[0]], [0.517], marker="o", color='black')
axSatur.plot([FalphaSol005_015[0]], [0.519], marker="o", color='black')
axSatur.plot([FalphaSol005_02[0]], [0.519], marker="o", color='black')
axSatur.grid(True)
axSatur.set_xlabel('x',fontsize=14)
axSatur.set_ylabel('Saturations',fontsize=14)
axSatur.set_xlim(0, 0.75)
axSatur.set_ylim(0, 1)
plt.subplots_adjust(right=0.85)
#------------------------------------------------------------------------------------------------------------
#-----------------------------------------------------------------ДЕЛЬТА 0.033
#------------------------------------------------------------------------------------------------------------
fig3, (axMass,axSatur) = plt.subplots(2, 1,figsize=(4,8))
axMass.set_title('(a)',fontsize=15)
axSatur.set_title('(b)',fontsize=15)
# 3 subplot (2d)--------------------
g1=axMass.plot(t, plotMassPower01_005, color='red',dashes=[6, 2])[0]
g2=axSatur.plot(plotSolFalpha01_005,t, color='blue')[0]
g3=axMass.plot([FalphaSol01_005[0]], [M01(FalphaSol01_005[0],FalphaSol01_005[0])], marker="o", color='black')[0]
fig3.legend([g1, g2, g3],[r"Power-law model",r"$F^{\alpha}-model$", r"$F^{\alpha}-model$ discontinuity"], # The labels for each line
loc="upper left", bbox_to_anchor=(0.5,0.63), # Position of legend
borderaxespad=0.1 # Small spacing around legend box
)
fig3.legend([g1, g2, g3],[r"Power-law model",r"$F^{\alpha}-model$", r"$F^{\alpha}-model$ discontinuity"], # The labels for each line
loc="upper left", bbox_to_anchor=(0.5,0.46), # Position of legend
borderaxespad=0.1 # Small spacing around legend box
)
#графики масс
axMass.plot(t, plotMassPower01_01, color='red',dashes=[6, 2])
axMass.plot(t, plotMassPower01_015, color='red',dashes=[6, 2])
axMass.plot(t, plotMassPower01_02, color='red',dashes=[6, 2])
axMass.plot(t, plotMeasure01, color='b')
#маркеры для масс
axMass.plot([FalphaSol01_005[0]], [M01(FalphaSol01_005[0],FalphaSol01_005[0])], marker="o", color='black')
axMass.plot([FalphaSol01_01[0]], [M01(FalphaSol01_01[0],FalphaSol01_01[0])], marker="o", color='black')
axMass.plot([FalphaSol01_015[0]], [M01(FalphaSol01_015[0],FalphaSol01_015[0])], marker="o", color='black')
axMass.plot([FalphaSol01_02[0]], [M01(FalphaSol01_02[0],FalphaSol01_02[0])], marker="o", color='black')
axMass.grid(True)
axMass.set_xlim(0, 0.75)
axMass.set_ylim(0, 0.4)
axMass.set_ylabel('Mass functions',fontsize=14)
# 4 subplot (2d)-----------------------графики насыщенностей
axSatur.plot(plotSolFalpha01_005,t, color='blue')
axSatur.plot(plotWhithoutStickFalphaSol01_005,t, color='b', alpha=0.5)
axSatur.text(0, 0.1, "$t'=0.05$",fontsize=13)
axSatur.text(0, 0.2, "$\delta'=$"+str(round(FindDelta_delta01(FalphaSol01_005[1])[1],5)),fontsize=13)
axSatur.text(0, 0.3, "$\Delta'=$"+str(round(FindDelta_delta01(FalphaSol01_005[1])[0],5)),fontsize=13)
axSatur.plot(plotSolFalpha01_01,t, color='b')
axSatur.text(FalphaSol01_01[1]-0.12, 0.1, "$0.1$",fontsize=13)
axSatur.text(FalphaSol01_01[1]-0.12, 0.2, str(round(FindDelta_delta01(FalphaSol01_01[1])[1],5)),fontsize=13)
axSatur.text(FalphaSol01_01[1]-0.12, 0.3, str(round(FindDelta_delta01(FalphaSol01_01[1])[0],5)),fontsize=13)
axSatur.plot(plotSolFalpha01_015,t, color='b')
axSatur.text(FalphaSol01_015[1]-0.12, 0.1, "$0.15$",fontsize=13)
axSatur.text(FalphaSol01_015[1]-0.12, 0.2, str(round(FindDelta_delta01(FalphaSol01_015[1])[1],5)),fontsize=13)
axSatur.text(FalphaSol01_015[1]-0.12, 0.3, str(round(FindDelta_delta01(FalphaSol01_015[1])[0],5)),fontsize=13)
axSatur.plot(plotSolFalpha01_02,t, color='b')
axSatur.text(FalphaSol01_02[1]-0.12, 0.1, "$0.2$",fontsize=13)
axSatur.text(FalphaSol01_02[1]-0.12, 0.2, str(round(FindDelta_delta01(FalphaSol01_02[1])[1],5)),fontsize=13)
axSatur.text(FalphaSol01_02[1]-0.12, 0.3, str(round(FindDelta_delta01(FalphaSol01_02[1])[0],5)),fontsize=13)
axSatur.plot(plotSolPower01_005,t, color='red',dashes=[6, 2])
axSatur.plot(plotWhithoutStickPowerSol01_005,t, color='red',dashes=[6, 2], alpha=0.5)
axSatur.plot(plotSolPower01_01,t, color='red',dashes=[6, 2])
axSatur.plot(plotSolPower01_015,t, color='red',dashes=[6, 2])
axSatur.plot(plotSolPower01_02,t, color='red',dashes=[6, 2])
#маркеры для насыщенностей
axSatur.plot([FalphaSol01_005[0]], [0.51], marker="o", color='black')
axSatur.plot([FalphaSol01_01[0]], [0.517], marker="o", color='black')
axSatur.plot([FalphaSol01_015[0]], [0.519], marker="o", color='black')
axSatur.plot([FalphaSol01_02[0]], [0.519], marker="o", color='black')
axSatur.grid(True)
#axSatur.set_title('$\overline{s}(x,t; \delta_1,\Delta_1), s(x,t)$')
axSatur.set_xlabel('x',fontsize=14)
axSatur.set_ylabel('Saturations',fontsize=14)
axSatur.set_xlim(0, 0.75)
axSatur.set_ylim(0, 1)
plt.subplots_adjust(right=0.85)
#------------------------------------------------------------------------------------------------------------
#------------------------------------------------------визуализация случая с естественным условием------------------------------------------------------
#------------------------------------------------------------------------------------------------------------
fig4 = plt.figure(figsize=plt.figaspect(2.))
ax = fig4.add_subplot(1, 1, 1)
g1=ax.plot(plotWrongSolPower005_005,t, color='red',dashes=[6, 2])[0]
g2=ax.plot(plotWrongSolFalpha005_005,t, color='b')[0]
fig4.legend([g1, g2],[r"Power-law model",r"$F^{\alpha}-model$"], # The labels for each line
loc="lower left", # Position of legend
borderaxespad=0.1 # Small spacing around legend box
)
ax.plot(plotWrongSolFalpha005_005,t, color='b')
ax.text(FalphaSol005_005[1]-0.12, 0.1, "$t'=0.05$",fontsize=13)
ax.plot(plotWrongSolFalpha005_01,t, color='b')
ax.text(FalphaSol005_01[1]-0.06, 0.1, "$0.1$",fontsize=13)
ax.plot(plotWrongSolFalpha005_015,t, color='b')
ax.text(FalphaSol005_015[1]-0.06, 0.1, "$0.15$",fontsize=13)
ax.plot(plotWrongSolFalpha005_02,t, color='b')
ax.text(FalphaSol005_02[1]-0.06, 0.1, "$0.2$",fontsize=13)
ax.plot(plotWrongSolPower005_01,t, color='red',dashes=[6, 2])
ax.plot(plotWrongSolPower005_015,t, color='red',dashes=[6, 2])
ax.plot(plotWrongSolPower005_02,t, color='red',dashes=[6, 2])
ax.grid(True)
ax.set_xlabel('x',fontsize=13)
ax.set_ylabel('Saturations',fontsize=14)
ax.set_xlim(0, 0.75)
ax.set_ylim(0, 1)
#------------------------------------------------------визуализация массовых функций
print(FindDelta_delta01(1))
print(FindDelta_delta005(1))
plt.show()