Numerical solution of a coupled modified Korteweg-de Vries equation by the Galerkin method using quadratic B-splines

被引：6

作者：

Kutluay, S. ^{[1
]}

Ucar, Y. ^{[1
]}

机构：

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

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2013年 / 90卷 / 11期

关键词：

coupled mKdVequation; finite element method; Galerkin method; quadratic B-spline; Fourier stability analysis; NONLINEAR EVOLUTION-EQUATIONS; VARIATIONAL ITERATION METHOD; SOLITARY WAVE SOLUTIONS; FINITE-ELEMENT-METHOD; MODIFIED KDV EQUATION; DECOMPOSITION METHOD; MKDV EQUATIONS; POLYNOMIALS; SYSTEM;

D O I：

10.1080/00207160.2013.775425

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, numerical solutions of a coupled modified Korteweg-de Vries equation have been obtained by the quadratic B-spline Galerkin finite element method. The accuracy of the method has been demonstrated by five test problems. The obtained numerical results are found to be in good agreement with the exact solutions. A Fourier stability analysis of the method is also investigated.

引用

页码：2353 / 2371

页数：19

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