A new application of He's variational iteration method for quadratic Riccati differential equation by using Adomian's polynomials

被引：156
|
作者：
Abbasbandy, S. [1 ]
机构：
[1] Imam Khomeini Int Univ, Dept Math, Ghazvin 34194, Iran
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2007年 / 207卷 / 01期
关键词：
riccati equation; variational iteration method; Adomian decomposition method; homotopy perturbation method;
D O I：
10.1016/j.cam.2006.07.012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the quadratic Riccati differential equation is solved by He's variational iteration method with considering Adomian's polynomials. Comparisons were made between Adomian's decomposition method (ADM), homotopy perturbation method (HPM) and the exact solution. In this application, we do not have secular terms, and if /., Lagrange multiplier, is equal - 1 then the Adomian's decomposition method is obtained. The results reveal that the proposed method is very effective and simple and can be applied for other nonlinear problems. (C) 2006 Published by Elsevier B.V.
引用
收藏
页码：59 / 63
页数：5
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