The element-free Galerkin method of numerically solving a regularized long-wave equation |
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| Authors: | Cheng Rong-Jun Ge Hong-Xia |
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| Institution: | 1. Ningbo Institute of Technology, Zhejiang University, Ningbo 315100, China;2. Faculty of Science, Ningbo University, Ningbo 315211, China |
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| 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. |
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| Keywords: | element-free Galerkin method meshless method regularized long wave equation solitary wave |
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