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A new algorithm for calculating Adomian polynomials

delete2005-10-01
delete77
PRE
AI
朱
朱永贵 (Yonggui Zhu) *
Q
Qianshun Chang
S
Shengchang Wu
DOI:10.1016/j.amc.2004.09.082delete
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Abstract

Abstract

En 中文
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.
Keywords:
adomian decomposition method
Adomian polynomials
nonlinear operators
nonlinearity of several variables

Journal

Applied Mathematics and Computation cover
Applied Mathematics and Computation
IF:
3.4
Papers:
2.3W
Citations:
3.3W

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