Least-squares quadratic B-spline finite element method for the regularised long wave equation

被引：80

作者：

Dag, I ^{[1
]}

机构：

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

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2000年 / 182卷 / 1-2期

关键词：

D O I：

10.1016/S0045-7825(99)00106-1

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

An approximate solution consisting of a combination of the quadratic B-spline functions is incorporated into the least-squares method. An application of this method is presented for computing the solution of the Regularised Long Wave (RLW) equation. Quadratic B-spline solution of the RLW equation leads to tridiagonal matrix system which is solved easily by using the Thomas algorithm. Performance of this scheme is tested by obtaining a solitary wave solution of the equation and by studying the development of the undular bore, Numerical results of the proposed algorithm is shown to have higher accuracy in terms of L-2-error norm compared studying the migration of the solitary wave. A Fourier stability analysis of the method is investigated. (C) 2000 Elsevier Science S.A. All rights reserved.

引用

页码：205 / 215

页数：11

共 15 条

[1] ONE MORE EXAMPLE OF INELASTIC SOLITON INTERACTION [J].

ABDULLOEV, KO ;

BOGOLUBSKY, IL ;

MAKHANKOV, VG .

PHYSICS LETTERS A, 1976, 56 (06) :427-428

[2] GALERKIN METHODS APPLIED TO SOME MODEL EQUATIONS FOR NONLINEAR DISPERSIVE WAVES [J].

ALEXANDER, ME ;

MORRIS, JL .

JOURNAL OF COMPUTATIONAL PHYSICS, 1979, 30 (03) :428-451

[3] 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-+

[4]

Christie I, 1981, J COMPUT PHYS, V39, P94

[5] A B-SPLINE FINITE-ELEMENT METHOD FOR THE REGULARIZED LONG-WAVE EQUATION [J].

GARDNER, LRT ;

GARDNER, GA ;

DAG, I .

COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, 1995, 11 (01) :59-68

[6]

Gardner LRT, 1996, COMMUN NUMER METH EN, V12, P795

[7] SOLITARY WAVES OF THE REGULARIZED LONG-WAVE EQUATION [J].

GARDNER, LRT ;

GARDNER, GA .

JOURNAL OF COMPUTATIONAL PHYSICS, 1990, 91 (02) :441-459

[8]

Gardner LRT, 1997, COMMUN NUMER METH EN, V13, P583, DOI 10.1002/(SICI)1099-0887(199707)13:7<583::AID-CNM90>3.0.CO

[9]

2-E

[10] NUMERICAL-SOLUTIONS OF THE REGULARIZED LONG-WAVE EQUATION [J].

JAIN, PC ;

ISKANDAR, L .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1979, 20 (02) :195-201

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