I’m looking for a book on how to use 2D Fourier Transforms. One with examples in code or involving finite data is preferred, but I’ll take one that doesn’t so long as its a good book that uses 2D Fourier Transforms on PDEs.
Just for context, I have been trying to solve a 2D Partial Differential Equation (2D Poisson Equation) using a 2D Fourier Transform for about 6 months in both Python and Matlab. I created a finite, discrete dataset out of some periodic function and have been trying to obtain the solution using this. I have tried posting my code to see if someone knows where I went wrong, but I have been unable to get an answer. It was my first time ever using an FFT at all and I have never taken a class on how to use them. I have consistently gotten close to obtaining the exact solution, but I appear to be missing something crucial. I have decided that the best way to find out what I’m missing would be by getting a book dedicated to it to find out exactly what I am doing wrong. I know this sounds silly, but I am at my wits end.