Choice of an optimal initial solution for a wave equation in the variational iteration method

被引：1
|
作者：
Yang, Gang [1 ]
Chen, Ruyun [2 ]
机构：
[1] Hunan Univ Commerce, Sch Informat, Changsha 410205, Hunan, Peoples R China
[2] Guangdong Ocean Univ, Sch Sci, Zhanjiang 524088, Guangdong, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2011年 / 61卷 / 08期
关键词：
Variational iteration method; Nonlinear equations; Wave equation; HOMOTOPY PERTURBATION METHOD; NONLINEAR ANALYTICAL TECHNIQUE; BOUNDARY-VALUE-PROBLEMS; EXP-FUNCTION METHOD; DIFFERENTIAL-EQUATIONS;
D O I：
10.1016/j.camwa.2010.08.068
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper suggests a new approach to the choice of an initial guess in the variational iteration method, by solving an ordinary differential equation. By rewriting the approximate solution u(n) of the variational iteration method as u(n) = v(0) + v(1) + ... + v(n), we transform the problems of solving partial differential equations into problems of solving ordinary differential equations which satisfy the boundary conditions. The solutions obtained show that the modification is effective and easy. (C) 2010 Elsevier Ltd. All rights reserved.
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页码：2053 / 2057
页数：5
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