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

共 38 条

[1] Numerical solution of eighth order boundary value problems in reproducing Kernel space [J].

Akram, Ghazala ;

Rehman, Hamood Ur .

NUMERICAL ALGORITHMS, 2013, 62 (03) :527-540

[2] Uniform numerical method for singularly perturbed delay differential equations [J].

Amiraliyev, G. M. ;

Erdogan, F. .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2007, 53 (08) :1251-1259

[3] Numerical method for a singularly perturbed convection-diffusion problem with delay [J].

Amiraliyev, Gabil M. ;

Cimen, Erkan .

APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (08) :2351-2359

[4] A uniform numerical method for dealing with a singularly perturbed delay initial value problem [J].

Amiraliyeva, I. G. ;

Erdogan, F. ;

Amiraliyev, G. M. .

APPLIED MATHEMATICS LETTERS, 2010, 23 (10) :1221-1225

[5]

[Anonymous], APPL MATH COMPUTATIO

[6] A meshfree unification: reproducing kernel peridynamics [J].

Bessa, M. A. ;

Foster, J. T. ;

Belytschko, T. ;

Liu, Wing Kam .

COMPUTATIONAL MECHANICS, 2014, 53 (06) :1251-1264

[7] A modified Numerov method for solving singularly perturbed differential-difference equations arising in science and engineering [J].

Chakravarthy, P. Pramod ;

Rao, R. Nageshwar .

RESULTS IN PHYSICS, 2012, 2 :100-103

[8]

Cui M., 2009, NONLINEAR NUMERICAL

[9] An Exponentially Fitted Method for Singularly Perturbed Delay Differential Equations [J].

Erdogan, Fevzi .

ADVANCES IN DIFFERENCE EQUATIONS, 2009,

[10] A numerical method for singularly perturbed turning point problems with an interior layer [J].

Geng, F. Z. ;

Qian, S. P. ;

Li, S. .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2014, 255 :97-105

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