An application for a modified KdV equation by the decomposition method and finite element method

被引：23

作者：

Geyikli, T

Kaya, D ^{[1
]}

机构：

[1] Firat Univ, Dept Math, TR-23119 Elazig, Turkey

[2] Inonu Univ, Fac Educ, Dept Math, TR-44280 Malatya, Turkey

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2005年 / 169卷 / 02期

关键词：

the decomposition method; Korteweg-de Vries equation; splines finite element method; Galerkin method; soliton solution;

D O I：

10.1016/j.amc.2004.11.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A numerical solution to a Modified Korteweg-cle Vries (MKdV) equation is obtained using a "lumped" Galerkin method with quadratic B-spline finite element method (FEM) and using the Adomian's Decomposition Method (ADM). Test problems concerning the motion and interaction of soliton solutions are used to compare the FEM with the ADM. Classical problems concerning the development, motion and interaction of solitons are used to validate the methods. The present methods extremely well in terms of accuracy, efficiency, simplicity, stability and reliability. (c) 2004 Elsevier Inc. All rights reserved.

引用

页码：971 / 981

页数：11

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