singularly perturbed Robin problems;
boundary layer;
asymptotic approximation;
exponentially fitted difference scheme;
numerical solution of differential equations;
D O I:
10.1080/00207160108805102
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
Singularly perturbed Robin problems are considered in this paper. In order to get an improved numerical solution to these problems, a computational method ("Booster Method") is suggested. In this method, an asymptotic approximation is incorporated into a finite difference scheme to improve the numerical solution. Error estimates are proposed when implemented in known difference schemes. Numerical examples are presented to illustrate the present method.
引用
收藏
页码:141 / 152
页数:12
相关论文
共 9 条
[1]
CHANG KW, 1984, THEORY APPL
[2]
Doolan E.P., 1980, Uniform Numerical Methods for Problems with Initial and Boundary Layers