Question: % Define problem parameters a = 2; b = 1; alpha = 1; epsilon = 0.01; T1 = 100; T2 = 100; T3 = 100;

% Define problem parameters

a = 2;

b = 1;

alpha = 1;

epsilon = 0.01;

T1 = 100;

T2 = 100;

T3 = 100;

T4 = 0;

% Discretize the plate into a grid of points

dx = 0.05;

dy = 0.05;

x = 0:dx:a;

y = 0:dy:b;

[X,Y] = meshgrid(x,y);

% Initialize the temperature at each point on the grid

T = (T1 + T2 + T3 + T4) / 4;

% Set the over-relaxation factor

w = 1.5;

% Iterate until convergence is achieved

while 1

% Update the temperature at each point on the grid

for i = 2:length(x)-1

for j = 2:length(y)-1

T(i,j) = (1 - w) * T(i,j) + w * (T(i-1,j) + T(i+1,j) + T(i,j-1) + T(i,j+1)) / 4;

end

end

% Calculate the L2 norm of the temperature distribution

L2norm = sqrt(sum(T.^2)) / numel(T);

% Check if the L2 norm is below the convergence criteria

if L2norm <= epsilon

break;

end

end

% Plot the final temperature distribution

contourf(X,Y,T);

colorbar;

xlabel('x');

ylabel('y');

title('Temperature Distribution');

the code is not working i need to run this code

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