contour function to show temperature on a 2d plate at 0, 1, 2, 5, 10, 100 seconds for discretised pde with jacobi solver running with 100 iterations in matlab

Assuming you have a matrix T containing the temperature at each point on the plate and x and y vectors specifying the coordinates of each point, you can use the contour function in MATLAB to plot the contours of the temperature at the specified times.

Here's an example code snippet:

main.m
% Define the coordinates of each point on the plate
x = linspace(0, 1, N); % N is the number of grid points in the x direction
y = linspace(0, 1, N); % N is the number of grid points in the y direction
[X, Y] = meshgrid(x, y);

% Define the times at which to plot the temperature contours
times = [0, 1, 2, 5, 10, 100]; % in seconds

% Run the Jacobi solver for 100 iterations
T = run_jacobi_solver(); % replace this with your code that runs the solver

% Plot the contours at the specified times
figure;
for i = 1:length(times)
    time = times(i);
    subplot(2, 3, i);
    contour(X, Y, T(:,:,time), 10); % plot 10 contour lines
    title(sprintf('Time = %d s', time));
end
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This code will create a 2x3 grid of subplots, with the temperature contours at each specified time. The contour function takes in the X and Y coordinates of the points, the temperature matrix T at the specified time, and the number of contour lines to plot (in this case, 10). You can adjust this to your liking.

Note that the run_jacobi_solver function is a placeholder for your code that runs the Jacobi solver for a given number of iterations. Make sure that T is a 3D matrix with dimensions (N, N, num_iters) so that you can access the temperature at each point for each time step.