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

doi:10.1016/j.cam.2011.08.022

	A new high accuracy locally one-dimensional scheme for the wave equation
	Zhang, Wensheng2 ; Tong, Li2 ; Chung, Eric T.1
	2011-10-15
发表期刊	JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
ISSN	0377-0427
卷号	236 期号:6 页码:1343-1353
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.
关键词	Wave equation Finite difference Locally one dimensional Stability condition Dispersion relation
DOI	10.1016/j.cam.2011.08.022
语种	英语
资助项目	Hong Kong RGC[401010]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000298271800024
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/12669
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.