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Legendre spectral collocation method for distributed and Riesz fractional convection-diffusion and Schrodinger-type equation
Journal article   Open access  Peer reviewed

Legendre spectral collocation method for distributed and Riesz fractional convection-diffusion and Schrodinger-type equation

M. A. Abdelkawy, Mdi Begum Jeelani, Abeer S. Alnahdi, T. M. Taha and E. M. Soluma
Boundary value problems, Vol.2022(1), pp.1-15
18/03/2022
DOI: https://doi.org/10.1186/s13661-022-01596-z

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
The numerical analysis of the temporal distributed and spatial Riesz fractional problem (TDSRFP) is presented in this work. To address the two independent variables, the suggested technique employs a completely spectral Legendre collocation approach. For the current model, our technique is proven to be more accurate, efficient, and practical. The results confirmed that the spectral scheme is exponentially convergent.
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https://doi.org/10.1186/s13661-022-01596-zView
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