Analysis of the equal width wave equation with the mesh-free reproducing kernel particle Ritz method  

作　　者：程荣军 葛红霞 

机构地区：[1]Ningbo Institute of Technology,Zhejiang University [2]Faculty of Science,Ningbo University

出　　处：《Chinese Physics B》2012年第10期56-63,共8页中国物理B（英文版）

基　　金：Project supported by the Natural Science Foundation of Zhejiang Province,China (Grant No. Y6110007)

摘　　要：In this paper,we analyse the equal width（EW） wave equation by using the mesh-free reproducing kernel particle Ritz（kp-Ritz） method.The mesh-free kernel particle estimate is employed to approximate the displacement field.A system of discrete equations is obtained through the application of the Ritz minimization procedure to the energy expressions.The effectiveness of the kp-Ritz method for the EW wave equation is investigated by numerical examples in this paper.In this paper,we analyse the equal width（EW） wave equation by using the mesh-free reproducing kernel particle Ritz（kp-Ritz） method.The mesh-free kernel particle estimate is employed to approximate the displacement field.A system of discrete equations is obtained through the application of the Ritz minimization procedure to the energy expressions.The effectiveness of the kp-Ritz method for the EW wave equation is investigated by numerical examples in this paper.

关 键 词：meshless method mesh-free kp-Ritz method equal width（EW） wave equation solitary wave 

分 类 号：O175.29[理学—数学]