Uniformly convergent difference scheme for singularly perturbed problem of mixed type

被引：0

作者：

Brayanov, Iliya A. ^{[1
]}

机构：

[1] Univ Rousse Angel Kanchev, Dept Appl Math & Informat, Rousse 7017, Bulgaria

来源：

ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS | 2006年 / 23卷

关键词：

convection-diffusion problems; singular perturbation; asymptotic analysis; finite volume methods; modified upwind approximations; uniform convergence; Shishkin mesh;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A one dimensional singularly perturbed elliptic problem with discontinuous coefficients is considered. The domain under consideration is partitioned into two subdomains. In the first subdomain a convection-diffusion-reaction equation is posed. In the second one we have a pure reaction-diffusion equation. The problem is discretized using an inverse-monotone finite volume method on Shishkin meshes. We establish an almost second-order global pointwise convergence that is uniform with respect to the perturbation parameter. Numerical experiments that support the theoretical results are given.

引用

页码：288 / 303

页数：16

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