A cardinal approach for two-dimensional modified anomalous space–time fractional sub-diffusion equation

Heydari, M.H.

doi:10.1016/j.rinp.2023.106545

Cited by 4 publications

(1 citation statement)

References 30 publications

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“…Depending on the physical or mathematical context of the issue, these boundary conditions could be reflecting, absorbing, or of other sorts. Recently, the TFSE was treated by many iterative and numerical methods, see for instance, [5][6][7][8][9].…”

Section: Introductionmentioning

confidence: 99%

Jacobi Rational Operational Approach for Time-Fractional Sub-Diffusion Equation on a Semi-Infinite Domain

Hafez,

Youssri,

Atta

2023

Contemp. Math.

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In this study, we employ a rational Jacobi collocation technique to effectively address linear time-fractional subdiffusion and reaction sub-diffusion equations. The semi-analytic approximation solution, in this case, represents the spatial and temporal variables as a series of rational Jacobi polynomials. Subsequently, we apply the operational collocation method to convert the target equations into a system of algebraic equations. A comprehensive investigation into the convergence properties of the dual series expansion employed in this approximation is conducted, demonstrating the robustness of the numerical method put forth. To illustrate the method's accuracy and practicality, we present several numerical examples. The advantages of this method are: high accuracy, efficiency, applicability, and high rate of convergence.

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