inputFile.txt

#---------------------------------------------------------------------------------
# First order differential linear equation
# y' = g(x) - p(x)*y
#
# (!!) -> YOU MUST USE THE VARIABLES x and y (IN LOWERCASE),
# (!!) -> NO OTHER VARIABLE SYMBOL IS ALLOWED.
#---------------------------------------------------------------------------------
yd = 1-x + 4*y

#---------------------------------------------------------------------------------
# Exact solution (if you dont have phi, make phi = None)
#---------------------------------------------------------------------------------
phi = (x/4) - (3/16) + exp(4*x)*(19/16)

#---------------------------------------------------------------------------------
# Initial value
#---------------------------------------------------------------------------------
y0 = 1

#---------------------------------------------------------------------------------
# Step size
#---------------------------------------------------------------------------------
h = 0.1

#---------------------------------------------------------------------------------
# Number of evaluations
#---------------------------------------------------------------------------------
n = 10

#---------------------------------------------------------------------------------
# Error Correction Threshold (only used for Predictor-Corrector method)
# typically 0 < episolon < 1, but episolon may be > 1
#---------------------------------------------------------------------------------
episolon = 0.3

#---------------------------------------------------------------------------------
# The method must be one of the following values:
#
# 1) "Euler"
#
# 2) "BackEuler"
#
# 3) "ImpEuler"
#
# 4) "RungeKutta"
#
# 5) "Taylor"
#
# 6) "Adams-Bashforth[X]" where [X] is one of the following values [1,2,3,4]
#    (e.g. Adams-Bashforth1 is adams-bashforth method of degree one)
#
# 7) "Adams-Multon[X]" where [X] is one of the following values [1,2,3,4]
#    (e.g. Adams-Multon1 is the adams-multon method of degree one)
#
# 8) "Predictor-Corrector[X]" where [X] is one of the following values [1,2,3,4]
#    (e.g. Preditor-Corrector1 is the Preditor-Corrector method of degree one)
#
# 9) "BackDiff[X]" where [X] is one of the following values [1,2,3,4]
#    (e.g. BackDiff1 is the Backward differentiation formula method of degree one)
#--------------------------------------------------------------------------------- 
BackDiff4