Numerical doubly periodic solution of the KdV equation with the initial condition via the decomposition method

doi:10.1016/j.amc.2004.10.003

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	Numerical doubly periodic solution of the KdV equation with the initial condition via the decomposition method
	Yan, ZY
	2005-09-15
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	168 期号:2 页码:1065-1078
摘要	In this paper, a scheme is extended to study numerical doubly periodic solutions of the Kortweg-de Vries (KdV) equation with initial conditions using the Adomian decomposition method. As a result, we obtain the numerical doubly periodic solutions of the KdV equation with initial conditions. The numerical doubly periodic solution is compared with the exact doubly periodic solution. Moreover we analyze the absolute-error and relative error between them, and also give the contour and density plots of the numerical doubly periodic solutions with two different moduli: m=1/5, 7/8. (c) 2004 Elsevier Inc. All rights reserved.
关键词	KdV equation the decomposition method numerical solution doubly periodic solution error analysis
DOI	10.1016/j.amc.2004.10.003
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000232760000028
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/1057
专题	系统科学研究所
通讯作者	Yan, ZY
作者单位	Chinese Acad Sci, AMSS, Inst Syst Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Yan, ZY. Numerical doubly periodic solution of the KdV equation with the initial condition via the decomposition method[J]. APPLIED MATHEMATICS AND COMPUTATION,2005,168(2):1065-1078.
APA	Yan, ZY.(2005).Numerical doubly periodic solution of the KdV equation with the initial condition via the decomposition method.APPLIED MATHEMATICS AND COMPUTATION,168(2),1065-1078.
MLA	Yan, ZY."Numerical doubly periodic solution of the KdV equation with the initial condition via the decomposition method".APPLIED MATHEMATICS AND COMPUTATION 168.2(2005):1065-1078.