Search

Article

x

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

The element-free Galerkin method based on the shifted basis for solving the Kuramoto- Sivashinsky equation

Feng Zhao Wang Xiao-Dong Ouyang Jie

The element-free Galerkin method based on the shifted basis for solving the Kuramoto- Sivashinsky equation

Feng Zhao, Wang Xiao-Dong, Ouyang Jie
PDF
Get Citation

(PLEASE TRANSLATE TO ENGLISH

BY GOOGLE TRANSLATE IF NEEDED.)

Metrics
  • Abstract views:  3753
  • PDF Downloads:  546
  • Cited By: 0
Publishing process
  • Received Date:  30 March 2012
  • Accepted Date:  11 June 2012
  • Published Online:  05 December 2012

The element-free Galerkin method based on the shifted basis for solving the Kuramoto- Sivashinsky equation

  • 1. Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710129, China
Fund Project:  Project supported by the National Basic Research Program of China (Grant No. 2012CB025903) and the National Natural Science Foundation of China (Grant No. 10871159).

Abstract: The Kuramoto-Sivashinsky equation is a kind of high-order nonlinear evolution equation which can describe complicated chaotic nature. Due to the existence of high-order derivatives in the equation, the shape functions violate the consistency conditions when using traditional element-free Galerkin method which adopts high-order polynomial basis functions to construct the shape functions. In order to solve the problems encountered in the traditional element-free Galerkin method, a kind of element-free Galerkin method adopting the shifted polynomial basis functions is presented in this paper. Compared with the traditional element-free Galerkin method, the Galerkin principle is still used to discrete the equation in this method, but the shape functions are constructed by moving least squares based on the shifted polynomial basis functions. Numerical results for the Kuramoto-Sivashinsky equation having traveling wave solution and chaotic nature prove the validity of the presented method.

Reference (16)

Catalog

    /

    返回文章
    返回