Numerical solution of a convection diffusion problem with Robin boundary conditions (Q1398433)
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scientific article; zbMATH DE number 1956166
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Numerical solution of a convection diffusion problem with Robin boundary conditions |
scientific article; zbMATH DE number 1956166 |
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Numerical solution of a convection diffusion problem with Robin boundary conditions (English)
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29 July 2003
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This paper concerns one-dimensional steady-state convection dominated convection-diffusion problem with Robin boundary conditions. It is shown theoretically and with numerical experiments, that the numerical solutions obtained using an upwind finite difference scheme on Shishkin meshes are uniformly convergent with respect to the diffusion coefficient.
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piecewise-uniform
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mesh
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singular perturbation
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convergence
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Robin boundary conditions
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numerical experiments
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upwind finite difference scheme
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Shishkin meshes
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