Analysis of the equal width wave equation with the mesh-free reproducing kernel particle Ritz method

doi:10.1088/1674-1056/21/10/100209

Abstract In this paper, we analyse the equal width (EW) wave equation by using the mesh-free reproducing kernel particle Ritz (kp-Ritz) method. The mesh-free kernel particle estimate is employed to approximate the displacement field. A system of discrete equations is obtained through the application of the Ritz minimization procedure to the energy expressions. The effectiveness of the kp-Ritz method for the EW wave equation is investigated by numerical examples in this paper.

Keywords: meshless method mesh-free kp-Ritz method equal width (EW) wave equation solitary wave

Received: 04 March 2012
Revised: 09 April 2012
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, China (Grant No. Y6110007).

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

Cite this article:

Cheng Rong-Jun (程荣军), Ge Hong-Xia (葛红霞) Analysis of the equal width wave equation with the mesh-free reproducing kernel particle Ritz method 2012 Chin. Phys. B 21 100209

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