Numerical solutions for fractional KdV-Burgers equation by Adomian decomposition method

doi:10.1016/j.amc.2006.05.004

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	Numerical solutions for fractional KdV-Burgers equation by Adomian decomposition method
	Wang, Qi
	2006-11-15
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	182 期号:2 页码:1048-1055
摘要	Based on the symbolic computation system Maple, Adomian decomposition method, developed for differential equations of integer order, is directly extended to derive explicit and numerical solutions of the fractional KdV-Burgers equation. The fractional derivatives are described in the Caputo sense. According to my knowledge this paper represents the first available numerical solutions of the nonlinear fractional KdV-Burgers equation with time- and space-fractional derivatives. Finally, the solutions of our model equation are calculated in the form of convergent series with easily computable components. (c) 2006 Published by Elsevier Inc.
关键词	fractional KdV-Burgers equation adomian decomposition method fractional calculus
DOI	10.1016/j.amc.2006.05.004
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000243202500009
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/2639
专题	中国科学院数学与系统科学研究院
通讯作者	Wang, Qi
作者单位	1.Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China 2.Chinese Acad Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Wang, Qi. Numerical solutions for fractional KdV-Burgers equation by Adomian decomposition method[J]. APPLIED MATHEMATICS AND COMPUTATION,2006,182(2):1048-1055.
APA	Wang, Qi.(2006).Numerical solutions for fractional KdV-Burgers equation by Adomian decomposition method.APPLIED MATHEMATICS AND COMPUTATION,182(2),1048-1055.
MLA	Wang, Qi."Numerical solutions for fractional KdV-Burgers equation by Adomian decomposition method".APPLIED MATHEMATICS AND COMPUTATION 182.2(2006):1048-1055.