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Numerical solution to a linearized KdV equation on unbounded domain

文献类型：期刊论文

作者Zheng, Chunxiong1; Wen, Xin2; Han, Houde1,3
刊名NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
出版日期2008-03-01
卷号24期号:2页码:383-399
关键词absorbing boundary conditions dual-Petrov-Galerkin method linearized KdV equation unbounded domains
ISSN号0749-159X
DOI10.1002/num.20267
英文摘要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.
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000253245200003
出版者JOHN WILEY & SONS INC
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/5788]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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