Legendre-Chebyshev spectral collocation method for two-dimensional nonlinear reaction-diffusion equation with Riesz space-fractional

M.A. Abdelkawy and S.A. Alyami

Chaos, Solitons & Fractals, 2021, vol. 151, issue C

Abstract: A high accurate spectral algorithm for two-dimensional nonlinear reaction-diffusion equation with Riesz space-fractional (RF-TNRDEs) is consider. We propose a shifted Legendre Gauss-Lobatto collocation (SL-GL-C) method in conjunction with shifted Chebyshev Gauss-Radau collocation (SC-GR-C) method to solve the RF-TNRDEs. A complete theoretical formulation is presented and numerical examples are given to illustrate the performance and efficiency of the algorithm. The superiority of the scheme to tackle RF-TNRDEs is revealed.

Keywords: Collocation method; Shifted Legendre-Gauss-Lobatto quadrature; Shifted Chebyshev Gauss-Radau quadrature; Riesz space-fractional Derivative (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:151:y:2021:i:c:s0960077921006330

DOI: 10.1016/j.chaos.2021.111279

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