| ROBUSTNESS OF AN UPWIND FINITE DIFFERENCE SCHEME FOR SEMILINEAR CONVECTION-DIFFUSION PROBLEMS WITH BOUNDARY TURNING POINTS |
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| 作者姓名： | TorstenLinB |
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| 作者单位： | InstitutfiirNumerischeMathematik,TechnischeUniversitiitDresden,D-01062Dresden,Germany |
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| 摘 要： | We consider a singularly perturbed semilinear convection-diffusion problem with a boundary layer of attractive turning-point type. It is shown that its solution can be decomposed into a regular solution component and a layer component. This decomposi-tion is used to analyse the convergence of an upwinded finite difference scheme on Shishkin meshes.
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| 关 键 词： | 半线性对流扩散方程 边界转折点 坚固性 有限差分格式 正则解 Shishkin网格 奇异扰动 |
ROBUSTNESS OF AN UPWIND FINITE DIFFERENCE SCHEME FOR SEMILINEAR CONVECTION-DIFFUSION PROBLEMS WITH BOUNDARY TURNING POINTS |
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| TorstenLinB.ROBUSTNESS OF AN UPWIND FINITE DIFFERENCE SCHEME FOR SEMILINEAR CONVECTION-DIFFUSION PROBLEMS WITH BOUNDARY TURNING POINTS[J].Journal of Computational Mathematics,2003,21(4):401-410. |
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| Authors: | Torsten Linfi |
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| Abstract: | We consider a singularly perturbed semilinear convection-diffusion problem with a boundary layer of attractive turning-point type. It is shown that its solution can be decomposed into a regular solution component and a layer component. This decomposition is used to analyse the convergence of an upwinded finite difference scheme on Shishkin meshes. |
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| Keywords: | Convection-diffusion Singular perturbation Solution decomposition Shishkin mesh |
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