A meshless method for the compound KdV-Burgers equation

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

中国物理B ›› 2011, Vol. 20 ›› Issue (7): 70206-070206.doi: 10.1088/1674-1056/20/7/070206

A meshless method for the compound KdV-Burgers equation

程荣军¹, 程玉民²

(1)Ningbo Institute of Technology, Zhejiang University, Ningbo 315100, China; (2)Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China

收稿日期:2010-12-28 修回日期:2011-01-21 出版日期:2011-07-15 发布日期:2011-07-15
基金资助:
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).

A meshless method for the compound KdV-Burgers equation

Cheng Rong-Jun(程荣军)^a) and Cheng Yu-Min(程玉民)^b)†

^a Ningbo Institute of Technology, Zhejiang University, Ningbo 315100, China; ^b Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China

Received:2010-12-28 Revised:2011-01-21 Online:2011-07-15 Published:2011-07-15
Supported by:
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).

摘要/Abstract

摘要： 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.

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.

Key words: element-free Galerkin (EFG) method, meshless method, compound Korteweg—de Vries—Burgers (KdVB) 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, 程玉民. A meshless method for the compound KdV-Burgers equation[J]. 中国物理B, 2011, 20(7): 70206-070206.

Cheng Rong-Jun(程荣军) and Cheng Yu-Min(程玉民) . A meshless method for the compound KdV-Burgers equation[J]. Chin. Phys. B, 2011, 20(7): 70206-070206.

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A meshless method for the compound KdV-Burgers equation

A meshless method for the compound KdV-Burgers equation

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