Publication
Title
Numerical solutions for some coupled nonlinear evolution equations by using spectral collocation method
Author
Abstract
In this paper, we introduce a spectral collocation method based on Lagrange polynomials for spatial derivatives to obtain numerical solutions for some coupled nonlinear evolution equations. The problem is reduced to a system of ordinary differential equations that are solved by the fourth order RungeKutta method. Numerical results of coupled Kortewegde Vries (KdV) equations, coupled modified KdV equations, coupled KdV system and Boussinesq system are obtained. The present results are in good agreement with the exact solutions. Moreover, the method can be applied to a wide class of coupled nonlinear evolution equations.
Language
English
Source (journal)
Mathematical and computer modelling. - Oxford
Publication
Oxford : 2008
ISSN
0895-7177
Volume/pages
48:7/8(2008), p. 1237-1253
ISI
000258663700021
Full text (Publisher's DOI)
Full text (open access)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 27.05.2009
Last edited 02.08.2017
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