High order parameter-robust numerical method for singularly perturbed reaction-diffusion problems (Q972144)
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scientific article; zbMATH DE number 5711768
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | High order parameter-robust numerical method for singularly perturbed reaction-diffusion problems |
scientific article; zbMATH DE number 5711768 |
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High order parameter-robust numerical method for singularly perturbed reaction-diffusion problems (English)
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25 May 2010
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This paper presents a higher-order parameter-uniform numerical method for singularly perturbed one-dimensional linear self-adjoint two-point boundary-value problems. The numerical scheme combines both the fourth-order compact difference scheme and the classical central difference scheme on generalized piecewise-uniform Shishkin meshes. Error estimates are derived and numerical examples are presented.
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singular perturbation
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hybrid scheme
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generalized Shishkin mesh
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parameter-robust convergence
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global error estimate
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reaction-diffusion problems
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pointwise error estimate
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linear self-adjoint two-point boundary-value problems
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fourth-order compact difference scheme
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central difference scheme
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numerical examples
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0.9874059
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0.95716214
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0.94510007
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0.93843335
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0.9375013
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