A singular perturbation problem for periodic boundary partial differential equation (Q1192866)
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scientific article; zbMATH DE number 61747
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A singular perturbation problem for periodic boundary partial differential equation |
scientific article; zbMATH DE number 61747 |
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A singular perturbation problem for periodic boundary partial differential equation (English)
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27 September 1992
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A difference scheme is constructed for an elliptic-parabolic problem with a small parameter \(\varepsilon\). Uniform convergence of the scheme is proved by aid of a maximum principle type argument and by studying the asymptotics of the solution when \(\varepsilon\to 0\). A particular (periodic) case is studied numerically to confirm the theoretical result.
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singular perturbation
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periodic boundary conditions
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decomposition
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difference scheme
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elliptic-parabolic problem
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small parameter
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Uniform convergence
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maximum principle
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asymptotics
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