The variational iteration method for solving a neutral functional-differential equation with proportional delays

被引：109

作者：

Chen, Xumei ^{[1
]}

Wang, Linjun ^{[2
]}

机构：

[1] Jiangsu Univ, Fac Sci, Zhenjiang 212013, Peoples R China

[2] Jilin Univ, Dept Math, Changchun 130012, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 59卷 / 08期

关键词：

Variational iteration method; Neutral functional-differential equation; Proportional delay; LEG THETA-METHODS; STABILITY;

D O I：

10.1016/j.camwa.2010.01.037

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the variational iteration method is applied to neutral functional-differential equations with proportional delays. Illustrative examples are given to show the efficiency of the method. We also compare the performance of the method with that of a particular Runge-Kutta method and a one-leg theta-method. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：2696 / 2702

页数：7

共 23 条

[1]

Bellen A., 2013, Numerical Methods for Delay Differential Equations, DOI DOI 10.1093/ACPROF:OSO/9780198506546.001.0001

[2] Analytical solution of a fractional diffusion equation by variational iteration method [J].

Das, S. .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 57 (03) :483-487

[3] A variational iteration method for solving parabolic partial differential equations [J].

Golbabai, A. ;

Javidi, A. .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2007, 54 (7-8) :987-992

[4]

He J.-H., 2010, Nonlinear Sci. Lett. A, V1, P1

[5] Variational iteration method for autonomous ordinary differential systems [J].

He, JH .

APPLIED MATHEMATICS AND COMPUTATION, 2000, 114 (2-3) :115-123

[6] Variational iteration method - a kind of non-linear analytical technique: Some examples [J].

He, JH .

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1999, 34 (04) :699-708

[7] Variational iteration method: New development and applications [J].

He, Ji-Huan ;

Wu, Xu-Hong .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2007, 54 (7-8) :881-894

[8] Variational iteration method - Some recent results and new interpretations [J].

He, Ji-Huan .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 207 (01) :3-17

[9]

HE P, 2009, APPL MATH COMPUT, V211, P95

[10] Variational iteration method for solving wave equation [J].

Hemeda, A. A. .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 56 (08) :1948-1953

← 1 2 3 →