Approximation of the RLW equation by the least square cubic B-spline finite element method

Authors
Dag, I Ozer, MN
Citation
I. Dag et Mn. Ozer, Approximation of the RLW equation by the least square cubic B-spline finite element method, APPL MATH M, 25(3), 2001, pp. 221-231
Citations number
17
Categorie Soggetti
Engineering Mathematics
Journal title
APPLIED MATHEMATICAL MODELLING
ISSN journal
0307904X → ACNP
Volume
25
Issue
3
Year of publication
2001
Pages
221 - 231
Database
ISI
SICI code
0307-904X(200101/02)25:3<221:AOTREB>2.0.ZU;2-3
Abstract
The regularized long wave (RLW) equation is solved numerically by giving a new algorithm based on a kind of space-time least square finite element met hod, in which a combination of cubic B-splines is used as an approximate fu nction. A single soliton solution with different amplitudes is simulated an d L-2, L-chi error norms and conserved quantities are given at selected tim es. Comparisons are made with both the analytical solution and some recent results. (C) 2001 Elsevier Science Inc. All rights reserved.