A new algorithm for calculating Adomian polynomials

doi:10.1016/j.amc.2004.09.082

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	A new algorithm for calculating Adomian polynomials
	Zhu, YG; Chang, QS; Wu, SC
	2005-10-01
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	169 期号:1 页码:402-416
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.
关键词	adomian decomposition method Adomian polynomials nonlinear operators nonlinearity of several variables
DOI	10.1016/j.amc.2004.09.082
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000232698000028
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/1426
专题	中国科学院数学与系统科学研究院
通讯作者	Zhu, YG
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zhu, YG,Chang, QS,Wu, SC. A new algorithm for calculating Adomian polynomials[J]. APPLIED MATHEMATICS AND COMPUTATION,2005,169(1):402-416.
APA	Zhu, YG,Chang, QS,&Wu, SC.(2005).A new algorithm for calculating Adomian polynomials.APPLIED MATHEMATICS AND COMPUTATION,169(1),402-416.
MLA	Zhu, YG,et al."A new algorithm for calculating Adomian polynomials".APPLIED MATHEMATICS AND COMPUTATION 169.1(2005):402-416.