HODIE finite difference schemes on generalized Shishkin meshes. (Q1426768)
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scientific article; zbMATH DE number 2057225
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | HODIE finite difference schemes on generalized Shishkin meshes. |
scientific article; zbMATH DE number 2057225 |
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HODIE finite difference schemes on generalized Shishkin meshes. (English)
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15 March 2004
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The authors study a class of HODIE finite difference schemes for solving singular perturbation problems for one-dimensional linear diffusion-convection problems. The method uses a nonuniform Shishkin mesh to concentrate points in the boundary layer. They prove uniform convergence with respect to the singular perturbation parameter and give some numerical examples.
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HODIE finite difference schemes
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Shishkin mesh
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generating function
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uniform
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convergence
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singular perturbation
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linear diffusion-convection problems
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boundary layer
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numerical examples
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0.87375766
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0.8676349
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0.8629109
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0.85959804
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0.85746664
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0.8557812
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