Orthonormal shifted discrete Chebyshev polynomials: Application for a fractal-fractional version of the coupled Schrödinger-Boussinesq system

M.H. Heydari, M. Razzaghi and Z. Avazzadeh

Chaos, Solitons & Fractals, 2021, vol. 143, issue C

Abstract: In this paper, a novel fractal-fractional derivative operator with Mittag-Leffler function as its kernel is introduced. Using this differentiation, the fractal-fractional model of the coupled nonlinear Schrödinger-Boussinesq system is defined. The orthonormal shifted discrete Chebyshev polynomials are generated and used for constructing a computational matrix method to solve the defined system. In the established method, using the matrices of the ordinary and fractal-fractional differentiations of these polynomials, the fractal-fractional system transformed into a system of algebraic equations, which is solved readily. Practicability and precision of the method are examined by solving two numerical examples.

Keywords: Orthonormal shifted discrete Chebyshev polynomials; Fractal-fractional (FF) derivative; Coupled nonlinear FF Schrödinger-Boussinesq equations (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:143:y:2021:i:c:s0960077920309619

DOI: 10.1016/j.chaos.2020.110570

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