Numerical solution for series sine-Gordon equations using variational method and finite element approximation

doi:10.1016/j.amc.2004.09.012

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	Numerical solution for series sine-Gordon equations using variational method and finite element approximation
	Wang, QF
	2005-09-01
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	168 期号:1 页码:567-599
摘要	This paper investigates numerical solutions for several kinds of sine-Gordon equations using variational method and finite element approximation. For the case of one-dimension and continuous time, a semi-discrete algorithm is proposed using Gauss-Legendre quadrature and Runge-Kutta method. Furthermore, the convergence of the algorithm is proved. Finally, several numerical examples are implemented and some simulation results are presented to show the efficiency of the scheme. (c) 2004 Elsevier Inc. All rights reserved.
关键词	sine-Gordon equations numerical solution finite element methods Gauss-Legendre quadrature Runge-Kutta method
DOI	10.1016/j.amc.2004.09.012
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000232501300043
出版者	ELSEVIER SCIENCE 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/2346
专题	中国科学院数学与系统科学研究院
通讯作者	Wang, QF
作者单位	Chinese Acad Sci, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Wang, QF. Numerical solution for series sine-Gordon equations using variational method and finite element approximation[J]. APPLIED MATHEMATICS AND COMPUTATION,2005,168(1):567-599.
APA	Wang, QF.(2005).Numerical solution for series sine-Gordon equations using variational method and finite element approximation.APPLIED MATHEMATICS AND COMPUTATION,168(1),567-599.
MLA	Wang, QF."Numerical solution for series sine-Gordon equations using variational method and finite element approximation".APPLIED MATHEMATICS AND COMPUTATION 168.1(2005):567-599.