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

Autor: M. A. Abdelkawy, Mdi Begum Jeelani, Abeer S. Alnahdi, T. M. Taha, E. M. Soluma
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Boundary Value Problems, Vol 2022, Iss 1, Pp 1-15 (2022)
Druh dokumentu: article
ISSN: 1687-2770
DOI: 10.1186/s13661-022-01596-z
Popis: Abstract 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.
Databáze: Directory of Open Access Journals
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