Analysis of an upwind finite-difference scheme for a system of coupled singularly perturbed convection-diffusion equations (Q873152)
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scientific article; zbMATH DE number 5138268
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Analysis of an upwind finite-difference scheme for a system of coupled singularly perturbed convection-diffusion equations |
scientific article; zbMATH DE number 5138268 |
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Analysis of an upwind finite-difference scheme for a system of coupled singularly perturbed convection-diffusion equations (English)
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28 March 2007
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A singularly perturbed system of coupled convection-diffusion Dirichlet boundary-value problems with diffusion parameters of different magnitudes are considered. To solve these problems, classical upwind finite difference schemes are applied on arbitrary meshes. Perturbation parameters-uniform error estimates are derived for certain layer-adapted meshes. Numerical experiments are presented supporting the theoretical results.
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finite difference scheme
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uniform convergence
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layer-adapted meshes
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convection-diffusion equation
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singular perturbation
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error estimates
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numerical experiments
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