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Jun 17, 2016 at 1:05 comment added Willie Wong What is it that you want to know? If you are expecting to obtain the explicit solution to your PDE with the given initial/boundary conditions, I am not convinced that it is possible in elementary terms.
Jun 16, 2016 at 23:32 comment added Comic Book Guy thank you very much for your insightful answer. I am not sure if i fully follow your last line. I only tried to merge the space and time variables in a transformation to simplify the pde, which now in hind sight, i think is at least one of the wrong move. I suspect i should look into Free boundary green's functions based approach. In your experience which techniques are most flexible with being able to meet demanding or unusual boundary conditions ?
Jun 16, 2016 at 16:05 vote accept Comic Book Guy
Jun 16, 2016 at 14:09 history answered Willie Wong CC BY-SA 3.0