create a steady state heat transfer with conduction on the left side of the wall and convection from air at temperature 20 deg c on the right, top, and bottom sides in matlab

main.m
thickness = 0.1; % thickness of the wall in meters
width = 1; % width of the wall in meters
height = 2; % height of the wall in meters
conductivity = 50; % thermal conductivity of the wall material in W/(m*K)
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main.m
T_left = 100; % temperature on the left side of the wall in deg C
T_right = 20; % temperature of the air surrounding the right side of the wall in deg C
h_convection = 10; % convective heat transfer coefficient between the wall and the air in W/(m^2*K)
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main.m
num_cells_x = 10; % number of cells in the x-direction
num_cells_y = 20; % number of cells in the y-direction

dx = width / num_cells_x;
dy = height / num_cells_y;

% Initialize the temperature matrix
T = ones(num_cells_y, num_cells_x) * T_right;
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main.m
max_iterations = 10000;
tolerance = 1e-6;
converged = false;

for iteration = 1:max_iterations
    T_old = T;
    
    % Update the temperature for all interior cells using the finite difference method
    for i = 2:num_cells_x-1
        for j = 2:num_cells_y-1
            T(j, i) = (T(j, i-1) + T(j-1, i) + T(j+1, i) + T(j, i+1)) / 4;
        end
    end
    
    % Apply the boundary conditions
    T(:, 1) = T_left;
    T(:, end) = T_right;
    T(1, :) = T_right;
    T(end, :) = T_right;
    
    % Check for convergence
    if max(abs(T - T_old), [], 'all') < tolerance
        converged = true;
        break;
    end
end
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main.m
[X, Y] = meshgrid(0:dx:width, 0:dy:height);
figure;
surf(X, Y, T);
xlabel('Width (m)');
ylabel('Height (m)');
zlabel('Temperature (°C)');
title('Temperature Distribution');
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