Solitary wave solutions for the regularized long-wave equation

被引：5

作者：

Irk, D. ^{[1
]}

机构：

[1] Eskisehir Osmangazi Univ, Dept Math & Comp Sci, TR-26480 Eskisehir, Turkey

来源：

PHYSICS OF WAVE PHENOMENA | 2012年 / 20卷 / 03期

关键词：

SPLINE COLLOCATION METHOD; FINITE-ELEMENT SCHEME; QUADRATIC B-SPLINE; NUMERICAL-SOLUTION; RLW EQUATION; GALERKIN METHOD; COMPUTATIONAL METHOD; SOLITONS; MODEL;

D O I：

10.3103/S1541308X1203003X

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The regularized long-wave equation has been solved numerically using the collocation method based on the Adams-Moulton method for the time integration and quintic B-spline functions for the space integration. The method is tested on the problems of propagation of a solitary wave and interaction of two solitary waves. The three conserved quantities of motion are calculated to determine the conservation properties of the proposed algorithm. The L (a) error norm is used to measure the difference between exact and numerical solutions. A comparison with the previously published numerical methods is performed.

引用

页码：174 / 183

页数：10

共 42 条

[1] A Petrov-Galerkin finite element scheme for the regularized long wave equation [J].

Avilez-Valente, P ;

Seabra-Santos, FJ .

COMPUTATIONAL MECHANICS, 2004, 34 (04) :256-270

[2] MODEL EQUATIONS FOR LONG WAVES IN NONLINEAR DISPERSIVE SYSTEMS [J].

BENJAMIN, TB ;

BONA, JL ;

MAHONY, JJ .

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1972, 272 (1220) :47-+

[3] A computational method for regularized long wave equation [J].

Bhardwaj, D ;

Shankar, R .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2000, 40 (12) :1397-1404

[4] NUMERICAL SCHEMES FOR A MODEL FOR NONLINEAR DISPERSIVE WAVES [J].

BONA, JL ;

PRITCHARD, WG ;

SCOTT, LR .

JOURNAL OF COMPUTATIONAL PHYSICS, 1985, 60 (02) :167-186

[5] Multisymplectic numerical method for the regularized long-wave equation [J].

Cai, Jiaxiang .

COMPUTER PHYSICS COMMUNICATIONS, 2009, 180 (10) :1821-1831

[6] Galerkin method for the numerical solution of the RLW equation using quintic B-splines [J].

Dag, I ;

Saka, B ;

Irk, D .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2006, 190 (1-2) :532-547

[7] Application of cubic B-splines for numerical solution of the RLW equation [J].

Dag, I ;

Saka, B ;

Irk, D .

APPLIED MATHEMATICS AND COMPUTATION, 2004, 159 (02) :373-389

[8] B-spline collocation methods for numerical solutions of the RLW equation [J].

Dag, I ;

Dogan, A ;

Saka, B .

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2003, 80 (06) :743-757

[9] Approximation of the RLW equation by the least square cubic B-spline finite element method [J].

Dag, I ;

Özer, MN .

APPLIED MATHEMATICAL MODELLING, 2001, 25 (03) :221-231

[10] Least-squares quadratic B-spline finite element method for the regularised long wave equation [J].

Dag, I .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2000, 182 (1-2) :205-215

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