On monotone iterative methods for a nonlinear singularly perturbed reaction--diffusion problem. (Q1421244)
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scientific article; zbMATH DE number 2032637
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On monotone iterative methods for a nonlinear singularly perturbed reaction--diffusion problem. |
scientific article; zbMATH DE number 2032637 |
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On monotone iterative methods for a nonlinear singularly perturbed reaction--diffusion problem. (English)
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26 January 2004
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The author presents a method for computing converging sequences of upper and lower solutions to a nonlinear reaction-diffusion equation on the unit square. Singular perturbation is handled by the use of a Shishkin mesh. A domain decomposition into vertical strips is also given, and the resulting discrete problem is solved by a Schwarz alternating method.
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reaction-diffusion equation
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singular perturbation
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domain decomposition
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monotone iterations
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0.9468188
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0.94549966
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0.9397644
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0.9335697
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0.93230706
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0.9288584
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