A novel finite difference-spectral method for fractal mobile/immobiletransport model based on Caputo–Fabrizio derivative

Mojtaba Fardi and Yasir Khan

Chaos, Solitons & Fractals, 2021, vol. 143, issue C

Abstract: This paper proposes a finite difference-spectral method toa mobile/immobile fractal transport model formulated with the concept of a fractional derivative of Caputo–Fabrizio. A finite difference scheme is used in temporal space to achieve a semi-discrete configuration, whereas a Legendre-spectral approach proposes for spatial discretization. The error calculation of the new procedure is calculated based on the theoretical foundation of the current technique. Finally, a variety of numerical examples are presented to determine the feasibility and applicability of the suggested method in terms of convergence ratio and accuracy.

Keywords: Fractal mobile-immobile transport model; Legendre-spectral method; Finite difference; Error analysis (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:143:y:2021:i:c:s0960077920309644

DOI: 10.1016/j.chaos.2020.110573

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