contour function to show temperature on a 2d plate at 0, 1, 2, 5, 10, 100 seconds for discretised pde with jacobi solver. implicit euler for time and central differencing for space used in matlab

Assuming you have already solved the discretised PDE equation for temperature using Jacobi solver with implicit Euler time integration and central differencing for space, you can plot the temperature contour as follows:

main.m
% plot the temperature contour at different time steps
timesteps = [0, 1, 2, 5, 10, 100];
for i = 1:length(timesteps)
    % get the temperature at the current time step
    time = timesteps(i);
    temp = ... % get the temperature matrix at time 'time'
    
    % plot the contour
    figure();
    contourf(temp);  % plot the filled contour
    colorbar();  % add the color bar for reference
    title(sprintf('Temperature Contour at t = %d second(s)', time));
end
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The contourf function in MATLAB is used to create filled contour plots of 2D scalar data. You can vary the number of contour levels by setting the 'LevelList' parameter of the contourf function.

Note that you need to replace the ... with the code that computes the temperature matrix at the current time step using the Jacobi solver with implicit Euler time integration and central differencing for space.

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