Numerical solution to a linearized KdV equation on unbounded domain

doi:10.1002/num.20267

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	Numerical solution to a linearized KdV equation on unbounded domain
	Zheng, Chunxiong 1; Wen, Xin 2; Han, Houde 1,3
	2008-03-01
发表期刊	NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
ISSN	0749-159X
卷号	24 期号:2 页码:383-399
摘要	Exact absorbing boundary conditions for a linearized KdV equation are derived in this paper. Applying these boundary conditions at artificial boundary points yields an initial-boundary value problem defined only on a finite interval. A dual-Petrov-Galerkin scheme is proposed for numerical approximation. Fast evaluation method is developed to deal with convolutions involved in the exact absorbing boundary conditions. In the end, some numerical tests are presented to demonstrate the effectiveness and efficiency of the proposed method. (c) 2007 Wiley Periodicals, Inc.
关键词	absorbing boundary conditions dual-Petrov-Galerkin method linearized KdV equation unbounded domains
DOI	10.1002/num.20267
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000253245200003
出版者	JOHN WILEY & SONS 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/5789
专题	中国科学院数学与系统科学研究院
通讯作者	Zheng, Chunxiong
作者单位	1.Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, Beijing 100080, Peoples R China 3.Univ Sci & Technol China, Dept Math, Hefei 230026, Peoples R China
推荐引用方式 GB/T 7714	Zheng, Chunxiong,Wen, Xin,Han, Houde. Numerical solution to a linearized KdV equation on unbounded domain[J]. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS,2008,24(2):383-399.
APA	Zheng, Chunxiong,Wen, Xin,&Han, Houde.(2008).Numerical solution to a linearized KdV equation on unbounded domain.NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS,24(2),383-399.
MLA	Zheng, Chunxiong,et al."Numerical solution to a linearized KdV equation on unbounded domain".NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS 24.2(2008):383-399.