RATIONAL SPECTRAL COLLOCATION METHOD FOR A COUPLED SYSTEM OF SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS

被引：15

作者：

Chen, Suqin ^{[1
]}

Wang, Yingwei ^{[1
]}

Wu, Xionghua ^{[1
]}

机构：

[1] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL MATHEMATICS | 2011年 / 29卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Singular perturbation; Coupled system; Rational spectral collocation method; Boundary layer; Reaction-diffusion; Convection-diffusion; REACTION-DIFFUSION EQUATIONS; NUMERICAL-METHOD; POINTS;

D O I：

10.4208/jcm.1103-m3434

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A novel collocation method for a coupled system of singularly perturbed linear equations is presented. This method is based on rational spectral collocation method in barycentric form with sinh transform. By sinh transform, the original Chebyshev points are mapped into the transformed ones clustered near the singular points of the solution. The results from asymptotic analysis about the singularity solution are employed to determine the parameters in this sinh transform. Numerical experiments are carried out to demonstrate the high accuracy and efficiency of our method.

引用

页码：458 / 473

页数：16

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