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Numerical solutions of some nonlinear evolution equations by Chebyshev spectral collocation methods

Khater, A. H. ; Temsah, R. S.

International journal of computer mathematics, 2007-03, Vol.84 (3), p.305-316 [Periódico revisado por pares]

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Título:
Numerical solutions of some nonlinear evolution equations by Chebyshev spectral collocation methods
Autor: Khater, A. H. ; Temsah, R. S.
Assuntos: Chebyshev spectral collocation methods ; Fluid mechanics ; Nonlinear evolution equations ; Numerical solutions ; Plasma physics
É parte de: International journal of computer mathematics, 2007-03, Vol.84 (3), p.305-316
Notas: ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
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Descrição: Chebyshev spectral collocation methods (known as El-Gendi methods-as described by El-Gendi in 1969 and Mihaila and Mihaila in 2002) are presented to deal with some nonlinear evolution equations including the Korteweg-de Vries (KdV), the modified KdV, the mixed KdV and modified KdV, and the generalized fifth-order KdV equations, which include as special cases some well-known equations. The problem is reduced to a system of ordinary differential equations that are solved by combinations of backward differential formulas and appropriate explicit schemes (implicit-explicit BDF methods-as described by Akrivis and Smyrlis in 2004). Good numerical results have been obtained and compared with the exact solutions.
Editor: Taylor & Francis
Idioma: Inglês

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