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I am writing a python code for explicit Euler's method, where I got stuck with a particular step. How can I find the difference between two consecutive matrices (2x1)? The algorithm states if I can reach the difference to 0.005, then I can stop iterating the values for the variables (Euler's method to solve two dependent differential equation).

The problem is in using the while loop.

What I have tried:

import array as arr from array import * import numpy as np

#storing the T (tau) value:

T= arr.array('d', [0.18,0.16,0.14,0.12,0.10,0.08,0.06,0.04,0.02,0.001]) #time step

I= [[1, 0], [0, 1]]

A= [[-1, 10], [1, -10]]

w0= [[0.2], [0.8]] w1= [[0.0], [0.0]]

D= np.subtract(w0, w1) s=0;

for i in range(0, 1): 
    B =np.multiply(A, T[i]) 
    C= np.add(I, B)

while(D[0][0]>=abs(0.005) and D[1][0]>=abs(0.005)): #to specify the cutoff value
    D= np.subtract(w0, w1)
    w1= np.matmul(C, w0)
    s=s+1; #to trace the number of iterations

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