The element-free Galerkin method of numerically solving a regularized long-wave equation

doi:10.1088/1674-1056/21/4/040203

中国物理B ›› 2012, Vol. 21 ›› Issue (4): 40203-040203.doi: 10.1088/1674-1056/21/4/040203

程荣军¹,葛红霞²

收稿日期:2011-09-11 修回日期:2011-09-28 出版日期:2012-02-29 发布日期:2012-02-29
通讯作者: 程荣军, E-mail:chengrongjun76@126.com E-mail:chengrongjun76@126.com

The element-free Galerkin method of numerically solving a regularized long-wave equation

Cheng Rong-Jun(程荣军)^a)† and Ge Hong-Xia(葛红霞)^b)

a. Ningbo Institute of Technology, Zhejiang University, Ningbo 315100, China;
b. Faculty of Science, Ningbo University, Ningbo 315211, China

Received:2011-09-11 Revised:2011-09-28 Online:2012-02-29 Published:2012-02-29
Contact: Cheng Rong-Jun, E-mail:chengrongjun76@126.com E-mail:chengrongjun76@126.com
Supported by:
Project supported by the Natural Science Foundation of Zhejiang Province of China(Grant No.Y6110007)

摘要/Abstract

Abstract: The element-free Galerkin (EFG) method is used in this paper to find the numerical solution to a regularized long-wave (RLW) equation. The Galerkin weak form is adopted to obtain the discrete equations, and the essential boundary conditions are imposed by the penalty method. The effectiveness of the EFG method of solving the RLW equation is investigated by two numerical examples in this paper.

Key words: element-free Galerkin method, meshless method, regularized long wave equation, solitary wave

中图分类号: (Ordinary and partial differential equations; boundary value problems)

02.60.Lj

03.65.Ge (Solutions of wave equations: bound states)

程荣军, 葛红霞. [J]. 中国物理B, 2012, 21(4): 40203-040203.

Cheng Rong-Jun(程荣军) and Ge Hong-Xia(葛红霞) . The element-free Galerkin method of numerically solving a regularized long-wave equation[J]. Chin. Phys. B, 2012, 21(4): 40203-040203.

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