Reproducing kernel method for singularly perturbed turning point problems having twin boundary layers

被引：81

作者：

Geng, F. Z. ^{[1
]}

Qian, S. P. ^{[1
]}

机构：

[1] Changshu Inst Technol, Dept Math, Changshu 215500, Jiangsu, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2013年 / 26卷 / 10期

基金：

中国国家自然科学基金;

关键词：

Reproducing kernel method; Singularly perturbed problems; Turning point; Twin boundary layers; NUMERICAL ALGORITHM; PARAMETER;

D O I：

10.1016/j.aml.2013.05.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A numerical method is proposed for solving singularly perturbed turning point problems exhibiting twin boundary layers based on the reproducing kernel method (RKM). The original problem is reduced to two boundary layers problems and a regular domain problem. The regular domain problem is solved by using the RKM. Two boundary layers problems are treated by combining the method of stretching variable and the RKM. The boundary conditions at transition points are obtained by using the continuity of the approximate solution and its first derivatives at these points. Two numerical examples are provided to illustrate the effectiveness of the present method. The results compared with other methods show that the present method can provide very accurate approximate solutions. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：998 / 1004

页数：7

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