I need help storing all column vectors from a for loop in an array

I feel like the solution is right on the tip of my tongue and I just can't figure it out. This is my code:

clc; close all; clear;
delZ=1/20;
alpha=1/4;
delT=alpha*delZ^2;
maxT=2/delT;
N=20;
W=[0;ones(20,1)];
We=[0;ones(20,1)];
for k=1:4
    for ii=2:N
        W(ii)=We(ii)+alpha*(We(ii+1)-2*We(ii)+We(ii-1));
    end
    We=W;
end

I would like to have each kth iteration of W stored in an array so I can see the progression, and I can't seem to conceptualize how to do it! Any help is greatly appreciated.

Answer 1

[Koundinya]

You could create a new array, W_k with each coulmn representing the value of W after every iteration :

clc; close all; clear;
delZ=1/20;
alpha=1/4;
delT=alpha*delZ^2;
maxT=2/delT;
N=20;
W=[0;ones(20,1)];
We=[0;ones(20,1)];

% Create a new array W_k, with the first column equal to W and
% subsequent columns would contain value of W after every iteration
W_k=W;

for k=1:4
    for ii=2:N
        W(ii)=We(ii)+alpha*(We(ii+1)-2*We(ii)+We(ii-1));
    end
    We=W;
    % Append W (after every kth iteration) to W_k horizontally
    W_k=[W_k W];
end