A meshless method for solving mKdV equation

被引：21
|
作者：
Mokhtari, Reza [1 ]
Mohseni, Majid [1 ]
机构：
[1] Isfahan Univ Technol, Dept Math Sci, Esfahan 8415683111, Iran
来源：
COMPUTER PHYSICS COMMUNICATIONS | 2012年 / 183卷 / 06期
关键词：
mKdV equation; RBF collocation method; DATA APPROXIMATION SCHEME; DE-VRIES EQUATION; SCATTERED DATA; MULTIQUADRICS; COLLOCATION;
D O I：
10.1016/j.cpc.2012.02.006
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
A meshless method based on a global collocation with radial basis functions for the numerical solution of the modified Korteweg-de Vries (mKdV) equation is presented. Standard types of radial basis functions are applied in the method of collocation. The stability analysis of the method is dealt with using a linearized stability analysis. The method's accuracy and efficiency are examined by the simulation of a single soliton and interaction of two solitary waves. The four invariants of the motion are evaluated to determine the conservation properties of the method. A comparison with some earlier reported results is also carried out. (C) 2012 Elsevier B.V. All rights reserved.
引用
收藏
页码：1259 / 1268
页数：10
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