MATLAB: How to solve a PDE with Fast Fourier Transform in matlab (the problem has three dimensions X, Y, Z)

Question

This PDE is Allen-Cahn Equation with three dimensions. I think that I should use fftn() but I need to see an example script to see the effects of fftn() in whole script.

Thanks,

Answer 1

The documentation for fftn contains examples of its use:

https://www.mathworks.com/help/matlab/ref/fftn.html?s_tid=srchtitle#examples

MathWorks also offers a toolbox specifically for solving PDEs:

https://www.mathworks.com/products/pde.html

https://www.mathworks.com/help/pde/

This may also be of use to you:

https://www.mathworks.com/matlabcentral/fileexchange/23972-chebfun-v4-old-version--please-download-current-version-instead?focused=5593102&tab=example