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

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

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.

Keywords: element-free Galerkin method meshless method regularized long wave equation solitary wave

Received: 11 September 2011
Revised: 28 September 2011
Accepted manuscript online:

PACS:	02.60.Lj	(Ordinary and partial differential equations; boundary value problems)
	03.65.Ge	(Solutions of wave equations: bound states)

Fund: Project supported by the Natural Science Foundation of Zhejiang Province of China(Grant No.Y6110007)

Corresponding Authors: Cheng Rong-Jun, E-mail:chengrongjun76@126.com
E-mail: chengrongjun76@126.com

Cite this article:

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 2012 Chin. Phys. B 21 040203

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

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