Numerical solution of damped nonlinear Klein-Gordon equations using variational method and finite element approach
文献类型：期刊论文
| 作者 | Wang, QF; Cheng, DZ |
| 刊名 | APPLIED MATHEMATICS AND COMPUTATION
 |
| 出版日期 | 2005-03-04 |
| 卷号 | 162期号:1页码:381-401 |
| 关键词 | Klein-Gordon equations numerical solution finite element methods Gauss-Legendre quadrature Runge-Kutta method |
| ISSN号 | 0096-3003 |
| DOI | 10.1016/j.amc.2003.12.102 |
| 英文摘要 | 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. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000226859900032 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/1104]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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