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Title
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Numerical solutions for some coupled nonlinear evolution equations by using spectral collocation method
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Author
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Abstract
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| 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. |
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Language
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English
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Source (journal)
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Mathematical and computer modelling. - Oxford
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Publication
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Oxford
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2008
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ISSN
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0895-7177
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DOI
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10.1016/J.MCM.2008.02.001
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Volume/pages
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48
:7/8
(2008)
, p. 1237-1253
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ISI
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000258663700021
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Full text (Publisher's DOI)
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Full text (open access)
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