Finite-difference approximations for singularly perturbed elliptic equations (Q1571315)
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scientific article; zbMATH DE number 1473028
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finite-difference approximations for singularly perturbed elliptic equations |
scientific article; zbMATH DE number 1473028 |
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Finite-difference approximations for singularly perturbed elliptic equations (English)
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26 October 2001
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The author considers the finite-difference approximations of an increased order of accuracy on a strip for singularly perturbed elliptic equations with convective terms. The highest-order derivatives contained in the equations are multiplied by a small parameter. Difference schemes that are uniformly convergent with respect to the parameter with an order of accuracy close to two are constructed on special piecewise uniform grids.
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elliptic equations
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singularly perturbation
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finite difference schemes
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small parameter
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Shishkin grid
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convergence
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0.9532669
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0.9514407
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0.9378999
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0.93645805
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