A second-order difference scheme for a parameterized singular perturbation problem (Q950088)
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scientific article; zbMATH DE number 5355641
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A second-order difference scheme for a parameterized singular perturbation problem |
scientific article; zbMATH DE number 5355641 |
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A second-order difference scheme for a parameterized singular perturbation problem (English)
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22 October 2008
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The author considers a singularly perturbed quasilinear boundary value problem depending on a parameter. The problem is discretized using a hybrid scheme on Shishkin-type meshes. It is shown that the scheme is second-order convergent, in the discrete maximum norm, independent of singular perturbation parameter. Numerical experiments support these theoretical results.
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Singular perturbation
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parametrized problem
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midpoint difference scheme
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Shishkin meshes
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uniform convergence
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quasilinear boundary value problem
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numerical experiments
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