Paper Title:
An Improved Element-Free Galerkin Method for a Kind of KdV Equations
  Abstract

An improved element-free Galerkin method is presented for the numerical solution of the third-order nonlinear KdV equation by coupling the interpolating moving least-squares (IMLS) method with the Galerkin method. The shape function of the IMLS method satisfies the property of Kronecker Delta function, and then the essential boundary condition can be applied directly and easily without any additional numerical effort. A variational method is used to obtain the discrete equations. A numerical example is given to demonstrate the effectiveness of the method presented in this paper for KdV equation.

  Info
Periodical
Chapter
Chapter 2: Simulation and Engineering Optimization
Edited by
Di Zheng, Yiqiang Wang, Yi-Min Deng, Aibing Yu and Weihua Li
Pages
471-474
DOI
10.4028/www.scientific.net/AMM.101-102.471
Citation
F. X. Sun, J. F. Wang, "An Improved Element-Free Galerkin Method for a Kind of KdV Equations", Applied Mechanics and Materials, Vols. 101-102, pp. 471-474, 2012
Online since
September 2011
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Price
$32.00
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