Uniformly convergent finite difference methods for singularly perturbed problems with turning points (Q1801406)
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scientific article; zbMATH DE number 202480
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniformly convergent finite difference methods for singularly perturbed problems with turning points |
scientific article; zbMATH DE number 202480 |
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Uniformly convergent finite difference methods for singularly perturbed problems with turning points (English)
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18 July 1993
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A family of finite difference schemes including the upwind method, Samarskij's method and exponential fitting type methods are studied for finding the approximate solution of one-dimensional singular perturbation problems with turning points. Uniform convergence of the upwind method on irregular meshes is established. Many examples are given to illustrate the efficiency of the proposed methods.
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exponential fitting methods
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uniform convergence
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finite difference schemes
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upwind method
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Samarskij's method
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singular perturbation
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turning points
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