| An element-free Galerkin(EFG) method for numerical solution of the coupled Schrdinger-KdV equations |
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| 引用本文： | 刘永庆,程荣军,葛红霞.An element-free Galerkin(EFG) method for numerical solution of the coupled Schrdinger-KdV equations[J].中国物理 B,2013,22(10):100204-100204. |
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| 作者姓名： | 刘永庆 程荣军 葛红霞 |
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| 作者单位： | a Faculty of Science, Ningbo University, Ningbo 315211, China;
b Ningbo Institute of Technology, Zhejiang University, Ningbo 315100, China;
c Faculty of Maritime and Transportation, Ningbo University, Ningbo 315211, China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China(Grant Nos.11072117 and 61074142);the Natural Science Foundation of Zhejiang Province,China(Grant No.Y6110007);Scientific Research Fund of Zhejiang Provincial Education Department,China(Grant No.Z201119278);the Natural Science Foundation of Ningbo City(Grant Nos.2012A610152 and 2012A610038);the Disciplinary Project of Ningbo City,China(Grant No.SZXL1067);K.C.Wong Magna Fund in Ningbo University |
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| 摘 要： | The present paper deals with the numerical solution of the coupled Schrdinger-KdV equations using the elementfree Galerkin(EFG) method which is based on the moving least-square approximation.Instead of traditional mesh oriented methods such as the finite difference method(FDM) and the finite element method(FEM),this method needs only scattered nodes in the domain.For this scheme,a variational method is used to obtain discrete equations and the essential boundary conditions are enforced by the penalty method.In numerical experiments,the results are presented and compared with the findings of the finite element method,the radial basis functions method,and an analytical solution to confirm the good accuracy of the presented scheme.
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| 关 键 词： | element-free Galerkin(EFG) method meshless method the coupled Schro¨dinger-KdV equations |
| 收稿时间： | 2012-10-19 |
An element-free Galerkin (EFG) method for numerical solution of the coupled Schrödinger-KdV equations |
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| Institution: | a Faculty of Science, Ningbo University, Ningbo 315211, China;
b Ningbo Institute of Technology, Zhejiang University, Ningbo 315100, China;
c Faculty of Maritime and Transportation, Ningbo University, Ningbo 315211, China |
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| Abstract: | The present paper deals with the numerical solution of the coupled Schrödinger-KdV equations using the element-free Galerkin (EFG) method which is based on the moving least-square approximation. Instead of traditional mesh oriented methods such as the finite difference method (FDM) and the finite element method (FEM), this method needs only scattered nodes in the domain. For this scheme, a variational method is used to obtain discrete equations and the essential boundary conditions are enforced by the penalty method. In numerical experiments, the results are presented and compared with the findings of the finite element method, the radial basis functions method, and an analytical solution to confirm the good accuracy of the presented scheme. |
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| Keywords: | element-free Galerkin (EFG) method meshless method the coupled Schrö dinger-KdV equations |
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