A Quadratic B-Spline Galerkin Approach for Solving a Coupled KdV Equation

被引：11

作者：

Kutluay, Selcuk ^{[1
]}

Ucar, Yusuf ^{[1
]}

机构：

[1] Inonu Univ, Fac Arts & Sci, TR-44280 Malatya, Turkey

来源：

MATHEMATICAL MODELLING AND ANALYSIS | 2013年 / 18卷 / 01期

关键词：

coupled KdV equation; finite element method; Galerkin method; quadratic B-spline; Fourier stability analysis; TRAVELING-WAVE SOLUTIONS; NUMERICAL-SOLUTION; SYSTEM; SYMMETRIES;

D O I：

10.3846/13926292.2013.760011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a quadratic B-spline Galerkin finite element approach is applied to one-dimensional coupled KdV equation in order to obtain its numerical solutions. The performance of the method is examined on three test problems. Computed results are compared with the exact results and also other numerical results given in the literature. A Fourier stability analysis of the approach is also done.

引用

页码：103 / 121

页数：19

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