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

•We introduce Legendre-Chebyshev spectral collocation method.•A high accurate spectral algorithm for two-dimensional nonlinear reaction-diffusion equation with Riesz space-fractional (RF-TNRDEs) is consider.•This work is the extension of our studies on the spectral collocation methods. A high accura...

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Bibliographic Details
Published in:Chaos, solitons and fractals solitons and fractals, 2021-10, Vol.151, p.111279, Article 111279
Main Authors: Abdelkawy, M.A., Alyami, S.A.
Format: Article
Language:English
Subjects:
Collocation method
Riesz space-fractional Derivative
Shifted Chebyshev Gauss-Radau quadrature
Shifted Legendre-Gauss-Lobatto quadrature
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Summary:•We introduce Legendre-Chebyshev spectral collocation method.•A high accurate spectral algorithm for two-dimensional nonlinear reaction-diffusion equation with Riesz space-fractional (RF-TNRDEs) is consider.•This work is the extension of our studies on the spectral collocation methods. 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.
ISSN:0960-0779
1873-2887
DOI:10.1016/j.chaos.2021.111279