A new algorithm for calculating Adomian polynomials

被引：71

作者：

Zhu, YG ^{[1
]}

Chang, QS ^{[1
]}

Wu, SC ^{[1
]}

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2005年 / 169卷 / 01期

关键词：

adomian decomposition method; Adomian polynomials; nonlinear operators; nonlinearity of several variables;

D O I：

10.1016/j.amc.2004.09.082

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a new algorithm for calculating Adomian polynomials for nonlinear operators will be established by parametrization. The algorithm requires less formula than the previous method developed by Adomian [Nonlinear Stochastic Operator Equations, Academic Press, 1986, G. Adomian, R. Rach, Oil composite nonlinearities and decomposition method. J. Math. Anal. Appl. 113 (1986) 504-509, G. Adomian, Applications of Nonlinear Stochastic Systems Theory to Physics, Kluwer, 1988]. Many forms of nonlinearity will be Studied to illustrate the new algorithm. The new algorithm will be extended to calculate Adomian polynomials for nonlinearity of several variables. (c) 2004 Elsevier Inc. All rights reserved.

引用

页码：402 / 416

页数：15

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