Variational iteration method for solving a generalized pantograph equation

被引：95

作者：

Saadatmandi, Abbas ^{[2
]}

Dehghan, Mehdi ^{[1
]}

机构：

[1] Amirkabir Univ Technol, Dept Appl Math, Fac Math & Comp Sci, Tehran, Iran

[2] Univ Kashan, Dept Math, Fac Sci, Kashan, Iran

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2009年 / 58卷 / 11-12期

关键词：

Pantograph equation; Symbolic computations; Variational iteration method; Closed form solution; Delay differential equation; DIFFERENTIAL-EQUATIONS; APPROXIMATE SOLUTION; NUMERICAL-SOLUTION; STABILITY;

D O I：

10.1016/j.camwa.2009.03.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The variational iteration method is applied to solve the generalized pantograph equation. This technique provides a sequence of functions which converges to the exact solution of the problem and is based on the use of Lagrange multipliers for identification of optimal value of a parameter in a functional. Employing this technique, it is possible to find the exact solution or an approximate solution of the problem. Some examples are given to demonstrate the validity and applicability of the method and a comparison is made with existing results. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：2190 / 2196

页数：7

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