Mesh approximation of singularly perturbed equations with convective terms for the perturbation of data (Q1395265)
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scientific article; zbMATH DE number 1940642
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Mesh approximation of singularly perturbed equations with convective terms for the perturbation of data |
scientific article; zbMATH DE number 1940642 |
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Mesh approximation of singularly perturbed equations with convective terms for the perturbation of data (English)
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1 July 2003
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This paper is concerned with the Dirichlet problem for singularly perturbed ordinary differential equations with convective terms. To approximate the problem, a difference scheme converging uniformly in the parameter \(\varepsilon\) on special piecewise-uniform grids is used. Some estimates of the perturbations of the mesh solution as a function of the subdomain where the data perturbations occur are obtained.
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singular perturbation
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convergence
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Dirichlet problem
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grid generation
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difference scheme
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data perturbations
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