Modified reproducing kernel method for singularly perturbed boundary value problems with a delay

被引：76

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 MATHEMATICAL MODELLING | 2015年 / 39卷 / 18期

基金：

中国国家自然科学基金;

关键词：

Reproducing kernel method; Singularly perturbed problems; Delay boundary value problems; Left boundary layer; DIFFERENTIAL-DIFFERENCE EQUATIONS; TURNING-POINT PROBLEMS; VOLTERRA INTEGRAL-EQUATIONS; INITIAL-VALUE TECHNIQUE; NUMERICAL-METHOD; FINITE-DIFFERENCE; SYSTEM; LAYERS; BEHAVIOR;

D O I：

10.1016/j.apm.2015.01.021

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper is devoted to the numerical treatment of a class of singularly perturbed delay boundary value problems with a left layer. The method is proposed based on the reproducing kernel theory and the error estimate of the present method is established. A numerical example is provided to show the effectiveness of the present method. Numerical results show that the present method is accurate and efficient. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：5592 / 5597

页数：6

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