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A new high accuracy locally one-dimensional scheme for the wave equation

文献类型：期刊论文

作者Zhang, Wensheng2; Tong, Li2; Chung, Eric T.1
刊名JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
出版日期2011-10-15
卷号236期号:6页码:1343-1353
关键词Wave equation Finite difference Locally one dimensional Stability condition Dispersion relation
ISSN号0377-0427
DOI10.1016/j.cam.2011.08.022
英文摘要In this paper, a new locally one-dimensional (LOD) scheme with error of 0(Delta t(4) + h(4)) for the two-dimensional wave equation is presented. The new scheme is four layer in time and three layer in space. One main advantage of the new method is that only tridiagonal systems of linear algebraic equations have to be solved at each time step. The stability and dispersion analysis of the new scheme are given. The computations of the initial and boundary conditions for the two intermediate time layers are explicitly constructed, which makes the scheme suitable for performing practical simulation in wave propagation modeling. Furthermore, a comparison of our new scheme and the traditional finite difference scheme is given, which shows the superiority of our new method. (C) 2011 Elsevier B.V. All rights reserved.
资助项目Hong Kong RGC[401010]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000298271800024
出版者ELSEVIER SCIENCE BV
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/12668]  
专题计算数学与科学工程计算研究所
博士后
通讯作者Chung, Eric T.
作者单位1.Chinese Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714		 Zhang, Wensheng,Tong, Li,Chung, Eric T.. A new high accuracy locally one-dimensional scheme for the wave equation[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2011,236(6):1343-1353.
APA Zhang, Wensheng,Tong, Li,&Chung, Eric T..(2011).A new high accuracy locally one-dimensional scheme for the wave equation.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,236(6),1343-1353.
MLA Zhang, Wensheng,et al."A new high accuracy locally one-dimensional scheme for the wave equation".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 236.6(2011):1343-1353.

入库方式： OAI收割

来源：数学与系统科学研究院

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