Parameter uniform numerical method for singularly perturbed turning point problems exhibiting boundary layers. (Q1408404)
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scientific article; zbMATH DE number 1981526
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Parameter uniform numerical method for singularly perturbed turning point problems exhibiting boundary layers. |
scientific article; zbMATH DE number 1981526 |
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Parameter uniform numerical method for singularly perturbed turning point problems exhibiting boundary layers. (English)
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15 September 2003
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The aim of this paper is to provide a layer resolving parameter uniform convergent numerical method for the turning point problem. The authors suggest an appropriate piecewise-uniform mesh and apply the classical finite-difference schemes on this mesh. The \(\varepsilon\)-uniform error estimates are derived and some numerical examples are included to support the theoretical estimates.
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turning point problems
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boundary layer
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asymptotic approximation
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finite-difference schemes
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piecewise uniform Shishkin mesh
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singular perturbation
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convergence
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error estimates
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numerical examples
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