Approximation of derivatives in a convection-diffusion two-point boundary value problem (Q5948559)
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scientific article; zbMATH DE number 1669958
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximation of derivatives in a convection-diffusion two-point boundary value problem |
scientific article; zbMATH DE number 1669958 |
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Approximation of derivatives in a convection-diffusion two-point boundary value problem (English)
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8 November 2001
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An upwind conservative finite difference scheme is applied to the solution of a two-point boundary value problem for a convection-diffusion equation. The authors analyze the truncation error of the scheme on an arbitrary mesh and obtain bounds on the pointwise errors and on the \(\varepsilon\)-weighted of Shishkin and Bakhvalov meshes are discussed. Numerical results on Bakhvalov and Shishkin meshes are presented.
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Shishkin mesh
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Bakhvalov mesh
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error bounds
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numerical results
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upwind conservative finite difference scheme
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two-point boundary value problem
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convection-diffusion equation
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