Extracting a general iterative method from an Adomian decomposition method and comparing it to the variational iteration method

被引：23

作者：

Biazar, J. ^{[2
]}

Porshokuhi, M. Gholami ^{[1
]}

Ghanbari, B. ^{[2
]}

机构：

[1] Islamic Azad Univ, Fac Sci, Dept Math, Tehran, Iran

[2] Guilan Univ, Fac Sci, Dept Math, Rasht, Iran

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 59卷 / 02期

关键词：

Linear and nonlinear operators; Adomian decomposition method; Adomian polynomials; The variational iteration method; EQUATIONS; BURGERS; CONVERGENCE;

D O I：

10.1016/j.camwa.2009.11.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, a new form of Adomian decomposition method (ADM) is presented; by this form a general iterative method can be achieved in which there is no need of calculating Adomian polynomials. Also, this general iterative method is compared with the Adomian decomposition method and variational iteration method (VIM) and its advantages are expressed. Crown Copyright (C) 2009 Published by Elsevier Ltd. All rights reserved.

引用

页码：622 / 628

页数：7

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