A meshless method for the compound KdV-Burgers equation

doi:10.1088/1674-1056/20/7/070206

Abstract The element-free Galerkin (EFG) method for numerically solving the compound Korteweg—de Vries—Burgers (KdVB) equation is discussed in this paper. The Galerkin weak form is used to obtain the discrete equation and the essential boundary conditions are enforced by the penalty method. The effectiveness of the EFG method of solving the compound Korteweg—de Vries—Burgers (KdVB) equation is illustrated by three numerical examples.

Keywords: element-free Galerkin (EFG) method meshless method compound Korteweg—de Vries—Burgers (KdVB) equation solitary wave

Received: 28 December 2010
Revised: 21 January 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 National Natural Science Foundation of China (Grant No. 10871124) and the Natural Science Foundation of Zhejiang Province of China (Grant No. Y6110007).

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Cheng Rong-Jun(程荣军) and Cheng Yu-Min(程玉民) A meshless method for the compound KdV-Burgers equation 2011 Chin. Phys. B 20 070206

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A meshless method for the compound KdV-Burgers equation

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