Chebyshev–Chebyshev spectral collocation method for solving the generalized regularized long wave (GRLW) equation

D.A. Hammad and M.S. El-Azab

Applied Mathematics and Computation, 2016, vol. 285, issue C, 228-240

Abstract: In this research, a Chebyshev–Chebyshev spectral collocation method based on Kronecker and Hadamard products is proposed for solving the generalized regularized long wave (GRLW) equation. Chebyshev–Gauss–Lobatto collocation points are used in both time and space directions. Three invariants of motion: mass, momentum and energy are evaluated to determine the conservation properties of the GRLW equation. The single solitary wave and the interaction of two and three solitary waves are presented to validate the efficiency and the accuracy of the proposed scheme.

Keywords: Chebyshev–Chebyshev spectral collocation method; Kronecker product; Hadamard product; Generalized regularized long wave equation; Chebyshev–Gauss–Lobatto points; Solitary waves (search for similar items in EconPapers)
Date: 2016
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:285:y:2016:i:c:p:228-240

DOI: 10.1016/j.amc.2016.03.033

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