Fourth order algorithms for a semilinear singular perturbation problem (Q1385145)
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scientific article; zbMATH DE number 1146028
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fourth order algorithms for a semilinear singular perturbation problem |
scientific article; zbMATH DE number 1146028 |
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Fourth order algorithms for a semilinear singular perturbation problem (English)
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26 April 1998
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The article is concerned with error estimates for finite difference approximations to singularly perturbed second-order ordinary boundary value problems. A comparison is made between different (non-equidistant) meshes and approximation schemes. In particular, a scheme is proposed which provides an \(O(n^{-4})\)-error and thus improves the \(O(n^{-4}\ln^4n)\)-error obtained by other schemes and meshes. Numerical experiments illustrate the results.
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singular perturbation
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convergence
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numerical experiments
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error estimates
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finite difference
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