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

共 50 条

[11] Numerical simulation of the modified Korteweg-de Vries equation
A. Biswas
K. R. Raslan
[J]. Physics of Wave Phenomena, 2011, 19 : 142 - 147
[12] Numerical Solution of a Coupled Korteweg-de Vries Equations by Collocation Method
Ismail, M. S.
[J]. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2009, 25 (02) : 275 - 291
[13] Numerical solution of the Korteweg-de Vries (KdV) equation
Jain, PC
Shankar, R
Bhardwaj, D
[J]. CHAOS SOLITONS & FRACTALS, 1997, 8 (06) : 943 - 951
[14] On the numerical solution of the nonlinear Korteweg-de Vries equation
Sarboland, Maryam
Aminataei, Azim
[J]. SYSTEMS SCIENCE & CONTROL ENGINEERING, 2015, 3 (01): : 69 - 80
[15] Numerical solution of Korteweg-de Vries equation by the Fourier pseudospectral method
Rashid, Abdur
[J]. BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2007, 14 (04) : 709 - 721
[16] EXACT SOLUTION OF MODIFIED KORTEWEG-DE VRIES EQUATION
WADATI, M
[J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1972, 32 (06) : 1681 - +
[17] On the numerical solution of Korteweg-de Vries equation by the iterative splitting method
Gucuyenen, Nurcan
Tanoglu, Gamze
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (03) : 777 - 782
[18] Galerkin method for the numerical solution of the RLW equation using quintic B-splines
Dag, I
Saka, B
Irk, D
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2006, 190 (1-2) : 532 - 547
[19] A numerical solution of the RLW equation by Galerkin method using quartic B-splines
Saka, Buelent
Dag, Idris
[J]. COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, 2008, 24 (11): : 1339 - 1361
[20] Erratum to: A New Approach for Numerical Solution of Modified Korteweg-de Vries Equation
Turgut Ak
S. Battal Gazi Karakoc
Anjan Biswas
[J]. Iranian Journal of Science and Technology, Transactions A: Science, 2018, 42 : 1685 - 1686

← 1 2 3 4 5 →