Article ID Journal Published Year Pages File Type
1709868 Applied Mathematics Letters 2010 5 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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