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    $\begingroup$ Is this even general enough to be implemented? This only works for rectangular domains. $\endgroup$ Commented Feb 9, 2018 at 22:33
  • $\begingroup$ The maple result seems to be hard-coded. You could in principle do the same thing in MMA, but I'm not sure how useful this would be... $\endgroup$ Commented Feb 9, 2018 at 23:49
  • $\begingroup$ @VsevolodA. I am not sure I understand your comment. This is 1D problem. What exactly is the this when you say "this only works"? $\endgroup$ Commented Feb 10, 2018 at 3:59
  • $\begingroup$ @Nasser this is 2D domain you are solving PDE in. And "this" is a spectral method, which can also be applied to 3D Possion equation for example (see FFT poisson solver), but only if boundary is rechtangular. $\endgroup$ Commented Feb 11, 2018 at 6:05
  • $\begingroup$ @VsevolodA. You say "this is 2D domain". I really thought it was 1D, since domain is $0<x<L$. May be we are using different definition of 1D and 2D. $\endgroup$ Commented Feb 11, 2018 at 13:53