A new algorithm for calculating Adomian polynomials
文献类型:期刊论文
作者 | Zhu, YG; Chang, QS; Wu, SC |
刊名 | APPLIED MATHEMATICS AND COMPUTATION
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出版日期 | 2005-10-01 |
卷号 | 169期号:1页码:402-416 |
关键词 | adomian decomposition method Adomian polynomials nonlinear operators nonlinearity of several variables |
ISSN号 | 0096-3003 |
DOI | 10.1016/j.amc.2004.09.082 |
英文摘要 | 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. |
WOS研究方向 | Mathematics |
语种 | 英语 |
WOS记录号 | WOS:000232698000028 |
出版者 | ELSEVIER SCIENCE INC |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/1425] ![]() |
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. |
入库方式: OAI收割
来源:数学与系统科学研究院
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