Title of article
Reliable numerical schemes for a linear diffusion equation on a nonsmooth domain
Author/Authors
Chin، نويسنده , , Pius W.M. and Djoko، نويسنده , , Jules K. and Lubuma، نويسنده , , Jean M.-S.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
5
From page
544
To page
548
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.
Keywords
non-standard finite difference method , Heat equation , Singularity , Regularity , Fourier series , Finite element method
Journal title
Applied Mathematics Letters
Serial Year
2010
Journal title
Applied Mathematics Letters
Record number
1526804
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