High-order perturbation-difference scheme for a convection-diffusion problem

被引：4
作者：
Choo, SM [1 ]
Chung, SK [1 ]
机构：
[1] Seoul Natl Univ, Dept Math Educ, Seoul 151742, South Korea
来源：
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2000年 / 190卷 / 5-7期
关键词：
convection-diffusion problem; peclet number; perturbation; weighted central scheme; modified upwind method;
D O I：
10.1016/S0045-7825(99)00444-2
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Finite difference methods with uniform meshes are considered for a one-dimensional singularly perturbed convection-diffusion problem. In order to obtain high-order of convergence, the difference methods are combined with a perturbation technique. The methods have E-uniform convergence and do not give non-physical oscillations in the numerical solutions. Existence and corresponding error estimates of the solution for the difference schemes have been shown. Numerical experiments are provided to back up the analysis. (C) 2000 Elsevier Science S.A. All rights reserved. MSG: 65L10; 65L12; 65L20.
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页码：721 / 732
页数：12
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