A variational iteration method for solving parabolic partial differential equations

被引：17

作者：

Golbabai, A. ^{[1
]}

Javidi, A. ^{[1
]}

机构：

[1] Iran Univ Sci & Technol, Dept Math, Tehran 16844, Iran

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2007年 / 54卷 / 7-8期

关键词：

variational iteration method; parabolic problems; Lagrange multipliers; stationary conditions; Dirichlet boundary condition;

D O I：

10.1016/j.camwa.2006.12.042

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, He's variational iteration method is employed successfully for solving parabolic partial differential equations with Dirichlet boundary conditions. In this method, the solution is calculated in the form of a convergent series with an easily computable component. This approach does not need linearization, weak nonlinearity assumptions or perturbation theory. The results reveal that the method is very effective and convenient. (c) 2007 Elsevier Ltd. All rights reserved.

引用

页码：987 / 992

页数：6

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