Fractional-order advection-dispersion problem solution via the spectral collocation method and the non-standard finite difference technique

DOI10.1016/j.chaos.2021.110736zbMath1498.65175OpenAlexW3135729769MaRDI QIDQ2131666

Adel Abd Elaziz El-Sayed, Nasser Hassan Sweilam, Salah Mahmoud Boulaaras

Publication date: 26 April 2022

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2021.110736

zbMATH Keywords

spectral collocation methodnon-standard finite difference methodCaputo fractional derivativefractional-order advection-dispersion equationVieta-Fibonacci polynomials

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Other special orthogonal polynomials and functions (33C47) Fractional partial differential equations (35R11)

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