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

doi:10.1016/j.cam.2011.08.022

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	A new high accuracy locally one-dimensional scheme for the wave equation
	Zhang, Wensheng2 ; Tong, Li 2; Chung, Eric T.1
刊名	JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
	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
DOI	10.1016/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
出版者	ELSEVIER SCIENCE BV
WOS记录号	WOS:000298271800024
内容类型	期刊论文
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
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.