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A meshless method for the compound KdV-Burgers equation |
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| Authors: | Cheng Rong-Jun and Cheng Yu-Min |
| Institution: | Ningbo Institute of Technology, Zhejiang University, Ningbo 315100, China; Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China |
| 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 |
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