how to calculate the laplacian of a function in matlab

To calculate the Laplacian of a scalar function in MATLAB, you need to take the divergence of the gradient of the function. Here is the code that does that:

main.m
syms x y z f
f = % your scalar function
grad = [diff(f, x); diff(f, y); diff(f, z)];
lap = simplify(divergence(grad));
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Here, we define a symbolic scalar function f and then calculate its gradient using the diff function. Then, we calculate the divergence using the divergence function, which is a built-in MATLAB function. Finally, we simplify the result using the simplify function.

Note that the Laplacian is a second-order derivative, so you need a function that is at least twice differentiable for this code to work.