Numerical solution of damped nonlinear Klein-Gordon equations using variational method and finite element approach

doi:10.1016/j.amc.2003.12.102

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	Numerical solution of damped nonlinear Klein-Gordon equations using variational method and finite element approach
	Wang, QF; Cheng, DZ
	2005-03-04
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	162 期号:1 页码:381-401
摘要	Numerical treatment for damped nonlinear Klein-Gordon equations, based on variational method and finite element approach, is studied. A semi-discrete algorithm is proposed by using quadratic interpolation functions of continuous time and spatial dimension one. The Gauss-Legendre quadrature has been utilized for numerical integrations of nonlinear terms, and Runge-Kutta method is used for solving ordinary differential equation. Finally, three dimensional graphics of numerical solutions are used to demonstrate the numerical results. (C) 2004 Elsevier Inc. All rights reserved.
关键词	Klein-Gordon equations numerical solution finite element methods Gauss-Legendre quadrature Runge-Kutta method
DOI	10.1016/j.amc.2003.12.102
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000226859900032
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/1105
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,Cheng, DZ. Numerical solution of damped nonlinear Klein-Gordon equations using variational method and finite element approach[J]. APPLIED MATHEMATICS AND COMPUTATION,2005,162(1):381-401.
APA	Wang, QF,&Cheng, DZ.(2005).Numerical solution of damped nonlinear Klein-Gordon equations using variational method and finite element approach.APPLIED MATHEMATICS AND COMPUTATION,162(1),381-401.
MLA	Wang, QF,et al."Numerical solution of damped nonlinear Klein-Gordon equations using variational method and finite element approach".APPLIED MATHEMATICS AND COMPUTATION 162.1(2005):381-401.