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.
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页码：5592 / 5597
页数：6
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