Euler Ex/Im

176 days ago by mhbahichem

import numpy as np 
       
def yr(z,yi): delta=1+4*z*yi return ((-1+sqrt(delta))) 
       
#Euler Implicite 
       
def E_I(a,b,N,y0): h=b-(a/N) y=np.empty(N+1) y[0]=y0 for i in range (N): t=a+i*h y[i+1]=yr(h,y[i]) return (y) 
       
E_I(0,5,5,1) 
        
array([  1.        ,   3.58257569,   7.52358574,  11.30738457,
        14.07141968,  15.80560602])
array([  1.        ,   3.58257569,   7.52358574,  11.30738457,
        14.07141968,  15.80560602])