Robustness of an Upwind Finite Difference Scheme for Semilinear Convection-Diffusion Problems with Boundary Turning Points
Year: 2003
Author: Torsten Linß
Journal of Computational Mathematics, Vol. 21 (2003), Iss. 4 : pp. 401–410
Abstract
We consider a singularly perturbed semilinear convection-diffusion problem with a boundary layer of attractive turning-point type. It is shown that its solution can be decomposed into a regular solution component and a layer component. This decomposition is used to analyse the convergence of an upwind finite difference scheme on Shishkin meshes.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2003-JCM-8882
Journal of Computational Mathematics, Vol. 21 (2003), Iss. 4 : pp. 401–410
Published online: 2003-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Convection-diffusion Singular perturbation Solution decomposition Shishkin mesh.