UNIFORMLY CONVERGENT DIFFERENCE METHOD FOR THE CONVECTION-DIFFUSION SINGULAR PERTURBATION PROBLEM IN A CURVED BOUNDARY REGION

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作者
盛秦
机构
[1] Suzhou
[2] Suzhou University
关键词
exp; UNIFORMLY CONVERGENT DIFFERENCE METHOD FOR THE CONVECTION-DIFFUSION SINGULAR PERTURBATION PROBLEM IN A CURVED BOUNDARY REGION;
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摘要
In this paper we construct a difference Scheme for the convectino-diffusion singularperturbation problem in a convex curved boundary region, and discuss the uniformconvergence of its solution. We have proved that the order of uniform convergence of itssolution isO(h~βe+τ(0<β<1/2). where h, τ are the mesh steps in the space andtime directions respectively.
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页码:269 / 278
页数:10
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