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  • $\begingroup$ Useful post. Any reference/idea on how to apply extrapolation at a corner node in a 9-point compact stencil discretizing the anisotropic diffusion operator on non-rectangular domain with non-uniform grid? $\endgroup$ Commented Dec 8, 2014 at 18:45
  • $\begingroup$ @unlikely Glad it help. As mentioned, this post is my first trial for FDM on irregular region, and in fact all the references in my hand has been linked in this post, maybe you can consider asking a separate question for your specific equation? $\endgroup$ Commented Dec 11, 2014 at 6:39
  • $\begingroup$ Thanks for help, but I have another question how to solve same example in polar coordinates?please help me $\endgroup$ Commented Mar 28, 2015 at 17:35
  • $\begingroup$ Thanks Jens, I try that in polar coordinates but I have a problem with boundary values. I posted that mathematica.stackexchange.com/questions/78468/… $\endgroup$ Commented Mar 28, 2015 at 21:39
  • $\begingroup$ @xzczd Thanks for the answer, but I have another question with your programs, when I changed m and n the radius of circle changed $\endgroup$ Commented Apr 2, 2015 at 10:58