Numerical solution of Korteweg-de Vries equation by Galerkin B-spline finite element method

被引：38

作者：

Aksan, EN ^{[1
]}

Özdes, A ^{[1
]}

机构：

[1] Inonu Univ, Fac Arts & Sci, Dept Math, TR-44069 Malatya, Turkey

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 175卷 / 02期

关键词：

Korteweg-de Vries equation; the method of discretization in time; Galerkin quadratic B-spline finite element method;

D O I：

10.1016/j.amc.2005.08.038

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A finite element solution of the KdV equation is presented. To demonstrate the efficiency of the method two test problems are considered. The numerical solutions of the KdV equation are compared with both the exact solutions and other numerical solutions in the literature. The numerical solutions are found to be in good agreement with the exact solutions. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：1256 / 1265

页数：10

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