Element-free Galerkin method for a kind of KdV equation |
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Authors: | Wang Ju-Feng SunFeng-Xin and Cheng Rong-Jun |
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Institution: | Ningbo Institute of Technology, Zhejiang University, Ningbo 315100, China; Ningbo University of Technology, Ningbo 315016, China |
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Abstract: | The present paper deals with the numerical solution of the
third-order nonlinear KdV equation using the element-free Galerkin
(EFG) method which is based on the moving least-squares approximation. A
variational method is used to obtain discrete equations, and the
essential boundary conditions are enforced by the penalty method.
Compared with numerical methods based on mesh, the EFG method for
KdV equations needs only scattered nodes instead of meshing the
domain of the problem. It does not require any element connectivity
and does not suffer much degradation in accuracy when nodal
arrangements are very irregular. The effectiveness of the EFG method
for the KdV equation is investigated by two numerical examples in this
paper. |
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Keywords: | element-free Galerkin method meshless method KdV
equation |
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