BVP_newton_method.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [],
   "source": [
    "def grad1_u(x,v):\n",
    "    return v"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [],
   "source": [
    "def grad2_u(x,u,v):\n",
    "    return 2*u*grad1_u(x,v)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {},
   "outputs": [],
   "source": [
    "def grad1_v(x,vv1):\n",
    "    return vv1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {},
   "outputs": [],
   "source": [
    "def grad2_v(x,u,v,v1,vv1):\n",
    "    return 2*(grad1_u(x,v)*v1 + u*grad1_v(x,vv1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 102,
   "metadata": {},
   "outputs": [],
   "source": [
    "u_init = 0.5\n",
    "u_fin = 1\n",
    "v_init = 0\n",
    "v_grad_init = 1\n",
    "s0 = 0.3\n",
    "epsilon = 0.00005\n",
    "h = 0.25"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [],
   "source": [
    "rng = (0,1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "metadata": {},
   "outputs": [],
   "source": [
    "def solver_RK2(init,init_grad,rn=(0,1),h=0.1):\n",
    "    initial,final = rn\n",
    "    #N = int((final - initial)/h)\n",
    "    T = np.arange(initial,final,h)\n",
    "    u_0 = init[0]\n",
    "    u_1 = init_grad[0]\n",
    "    v_0 = init[1]\n",
    "    v_1 = init_grad[1]\n",
    "    u_plot = []\n",
    "    u_plot.append(u_0.tolist())\n",
    "    for i in T:\n",
    "        k1 = (h**2)/2*grad2_u(i,u_0,u_1)\n",
    "        k2 = (h**2)/2*grad2_u((i+2*h/3),(u_0+2/3*h*u_1+2/3*k1),(u_1+4/3*h*k1))\n",
    "        u_0 = u_0 + h*u_1 +1/2*(k1+k2)\n",
    "        u_1 = u_1 + h/2*(k1+3*k2)\n",
    "        l1 = (h**2)/2*grad2_v(i,u_0,u_1,v_0,v_1)\n",
    "        l2 = (h**2)/2*grad2_v((i+2*h/3),u_0,u_1,(v_0+2/3*h*v_1+2/3*l1),(v_1+4/3*h*l1))\n",
    "        #print(u_0,u_1)\n",
    "        v_0 = v_0 + h*v_1 +1/2*(l1+l2)\n",
    "        v_1 = v_1 + h/2*(l1+3*l2)\n",
    "        u_plot.append(u_0.tolist())\n",
    "    \n",
    "    #print(\"u=\",u_0)\n",
    "    #print(\"u'=\",u_1)\n",
    "    #print(\"v=\",v_0)\n",
    "    #print(\"v'=\",v_1)\n",
    "    return (u_0,v_0),(u_1,v_1),u_plot,T"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "u= 0.8601213943586733\n",
      "u'= 0.3264091766489678\n",
      "v= 1.2697306608786643\n",
      "v'= 1.119337196935874\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "(0.8601213943586733, 1.2697306608786643)"
      ]
     },
     "execution_count": 96,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "c_0 = np.array([u_init,v_init])\n",
    "c_grad = np.array([s0,v_grad_init])\n",
    "ub,ub_grad,u_plt,T_space = solver_RK2(c_0,c_grad,rng,0.25)\n",
    "#vb,vb_grad,v_plt,Tv_space = solver_RK2_v(0,1,rng,0.25)\n",
    "T_space = np.append(T_space,np.array(rng[1]))\n",
    "u_plt = np.matrix(u_plt)\n",
    "ub"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 110,
   "metadata": {},
   "outputs": [],
   "source": [
    "def solver_newton(s0,h):\n",
    "    c_0 = np.array([u_init,v_init])\n",
    "    c_grad = np.array([s0,v_grad_init])\n",
    "    ub,ub_grad,_,_ = solver_RK2(c_0,c_grad,rng,h)\n",
    "    phi_s = ub[0] - u_fin\n",
    "    phi_grad_s = ub[1]\n",
    "    print(s0)\n",
    "    while(abs(phi_s) >= epsilon):    \n",
    "        s0 = s0 - phi_s/phi_grad_s\n",
    "        print(s0)\n",
    "        c_grad = np.array([s0,v_grad_init])\n",
    "        ub,_,_,_ = solver_RK2(c_0,c_grad,rng,h)\n",
    "        phi_s = ub[0] - u_fin\n",
    "        phi_grad_s = ub[1]\n",
    "    return solver_RK2(c_0,c_grad,rng,h)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 111,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.3\n",
      "0.4101639977288802\n",
      "0.41024780183309517\n",
      "0.3\n",
      "0.47749313100401014\n",
      "0.4766404799785462\n"
     ]
    }
   ],
   "source": [
    "ub,ub_grad,u_plt,T_space = solver_newton(s0,h)\n",
    "T_space = np.append(T_space,np.array(rng[1]))\n",
    "_,_,u_plt1,T_space1 = solver_newton(s0,h/4)\n",
    "T_space1 = np.append(T_space1,np.array(rng[1]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "metadata": {},
   "outputs": [],
   "source": [
    "def func(x):\n",
    "    return 1/(2-x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "#import mpld3\n",
    "#mpld3.enable_notebook()\n",
    "plt.rcParams['figure.figsize'] = (40.0, 40.0) # set default size of plots\n",
    "plt.rcParams['image.interpolation'] = 'nearest'\n",
    "plt.rcParams['image.cmap'] = 'gray'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 104,
   "metadata": {},
   "outputs": [
    {
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      "text/plain": [
       "<Figure size 2880x2880 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#u_plt = np.matrix(u_plt)\n",
    "F_space = np.arange(0,1,0.001)\n",
    "plt.plot(T_space,u_plt,label=\"Newton_Method(h)\")\n",
    "plt.plot(F_space,func(F_space),label=\"Actual Function\")\n",
    "plt.plot(T_space1,u_plt1,label=\"Newton_Method(h/4)\")\n",
    "plt.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0.)\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}