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.
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