Title
Numerical solutions for some coupled nonlinear evolution equations by using spectral collocation methodNumerical solutions for some coupled nonlinear evolution equations by using spectral collocation method
Author
Faculty/Department
Faculty of Sciences. Physics
Research group
Department of Physics
Publication type
article
Publication
Oxford,
Subject
Mathematics
Computer. Automation
Source (journal)
Mathematical and computer modelling. - Oxford
Volume/pages
48(2008):7/8, p. 1237-1253
ISSN
0895-7177
ISI
000258663700021
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
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.
Full text (open access)
https://repository.uantwerpen.be/docman/irua/fb888b/0404e2de.pdf
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