The method of additive separation of singularities for quasilinear singularly perturbed elliptic and parabolic equations (Q1904011)
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scientific article; zbMATH DE number 826006
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The method of additive separation of singularities for quasilinear singularly perturbed elliptic and parabolic equations |
scientific article; zbMATH DE number 826006 |
Statements
The method of additive separation of singularities for quasilinear singularly perturbed elliptic and parabolic equations (English)
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15 August 1996
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The author discusses the numerical solution of quasilinear elliptic and parabolic equations in a two-dimensional strip. The equations contain a small parameter by the highest derivatives. The proposed difference schemes converge uniformly with respect to this small parameter. The difference schemes are constructed by using the method of additive separation of singularities. For finding the singular and the regular parts of the solution classical difference approximations on uniform grids are applied.
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finite difference methods
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convergence
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singular perturbations
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quasilinear elliptic
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parabolic
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difference schemes
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method of additive separation of singularities
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0.92256594
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0.86843085
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0.8682717
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