Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1709868 | Applied Mathematics Letters | 2010 | 5 Pages |
Abstract
The solution of a linear reaction–diffusion equation on a non-convex polygon is proved to be globally regular in a suitable weighted Sobolev space. This result is used to design an optimally convergent Fourier-Finite Element Method (FEM) where the mesh size is suitably refined. Furthermore, the coupled Non-Standard Finite Difference Method (NSFDM)-FEM is presented as a reliable scheme that replicates the essential properties of the exact solution.
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Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Pius W.M. Chin, Jules K. Djoko, Jean M.-S. Lubuma,