Element-free Galerkin method for a kind of KdV equation

被引：0
|
作者：
王聚丰 [1 ]
孙凤欣 [2 ]
程荣军 [1 ]
机构：
[1] Ningbo Institute of Technology,Zhejiang University
[2] Ningbo University of Technology
来源：
Chinese Physics B | 2010年 / 06期
关键词：
element-free Galerkin method; meshless method; KdV equation;
D O I：
暂无
中图分类号：
O411.1 [数学物理方法]; O175 [微分方程、积分方程];
学科分类号：
0701 ; 070104 ;
摘要：
The present paper deals with the numerical solution of the third-order nonlinear KdV equation using the elementfree 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.
引用
收藏
页码：11 / 16
页数：6
相关论文
共 50 条
  • [1] Element-free Galerkin method for a kind of KdV equation
    Wang Ju-Feng
    Sun Feng-Xin
    Cheng Rong-Jun
    CHINESE PHYSICS B, 2010, 19 (06)
  • [2] An Improved Element-free Galerkin Method for a kind of KdV Equations
    Sun, Fengxin
    Wang, Jufeng
    ADVANCES IN ENGINEERING DESIGN AND OPTIMIZATION II, PTS 1 AND 2, 2012, 102-102 : 471 - +
  • [3] Element-free characteristic Galerkin method for Burgers' equation
    Zhang, Xiao Hua
    Ouyang, Jie
    Zhang, Lin
    ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2009, 33 (03) : 356 - 362
  • [4] Element-free Galerkin (EFG) method for a kind of two-dimensional linear hyperbolic equation
    Cheng Rong-Jun
    Ge Hong-Xia
    CHINESE PHYSICS B, 2009, 18 (10) : 4059 - 4064
  • [5] Element-free Galerkin (EFG) method for a kind of two-dimensional linear hyperbolic equation
    程荣军
    葛红霞
    Chinese Physics B, 2009, (10) : 4059 - 4064
  • [6] Analysis of an element-free Galerkin method for the nonlinear Schrodinger equation
    Li, Xiaolin
    Li, Shuling
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2023, 203 : 538 - 552
  • [7] Consistent element-free Galerkin method
    Duan, Qinglin
    Gao, Xin
    Wang, Bingbing
    Li, Xikui
    Zhang, Hongwu
    Belytschko, Ted
    Shao, Yulong
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2014, 99 (02) : 79 - 101
  • [8] The element-free Galerkin method for the nonlinear &ITp&IT-Laplacian equation
    Li, Xiaolin
    Dong, Haiyun
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2018, 75 (07) : 2549 - 2560
  • [9] The Element-Free Galerkin Method for Two-dimensional Schrodinger Equation
    Cai, Xinghui
    Sun, XinLi
    Li, Zhen
    Ji, Guoxun
    Lu, Jiangren
    INTERNATIONAL CONFERENCE ON ADVANCES IN COMPUTATIONAL MODELING AND SIMULATION, 2012, 31 : 1108 - 1114
  • [10] Numerical error analysis for consolidation equation by element-free Galerkin method
    Zhang, Yanjun
    Wang, Enzhi
    Wang, Sijing
    Yanshilixue Yu Gongcheng Xuebao/Chinese Journal of Rock Mechanics and Engineering, 2004, 23 (18): : 3117 - 3121
12345