Numerical solution of space fractional diffusion equation using shifted Gegenbauer polynomials

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Issa Kazeem; Yisa Babatunde M.; Biazar Jafar

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Journal Paper

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Journal: Computational Methods for Differential Equations Year:2022 | Volume:10 | Issue:2 Page(s): 431-444

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Title

Numerical solution of space fractional diffusion equation using shifted Gegenbauer polynomials

Author(s)

Issa Kazeem | Yisa Babatunde M. | Biazar Jafar | Issue Writer Certificate

Keywords

Gegenbauer polynomial

Caputo derivative

Fractional diffusion equation

Finite difference method

Abstract

This paper is concerned with numerical approach for solving space Fractional diffusion equation using shifted Gegenbauer polynomials, where the fractional derivatives are expressed in Caputo sense. The properties of Gegenbauer polynomials are exploited to reduce space Fractional diffusion equation to a system of ordinary differential equations, that are then solved using Finite difference method. Some selected numerical simulations of space Fractional diffusion equations are presented and the results are compared with the exact solution, also with the results obtained via other methods in the literature. The comparison reveals that the proposed method is reliable, effective and accurate. All the computations were carried out using Matlab package.

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APA: Copy

Issa, Kazeem, Yisa, Babatunde M., & Biazar, Jafar. (2022). Numerical solution of space fractional diffusion equation using shifted Gegenbauer polynomials. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 10(2), 431-444. SID. https://sid.ir/paper/1057135/en

Vancouver: Copy

Issa Kazeem, Yisa Babatunde M., Biazar Jafar. Numerical solution of space fractional diffusion equation using shifted Gegenbauer polynomials. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS[Internet]. 2022;10(2):431-444. Available from: https://sid.ir/paper/1057135/en

IEEE: Copy

Kazeem Issa, Babatunde M. Yisa, and Jafar Biazar, “Numerical solution of space fractional diffusion equation using shifted Gegenbauer polynomials,” COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, vol. 10, no. 2, pp. 431–444, 2022, [Online]. Available: https://sid.ir/paper/1057135/en

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