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Issa, Kazeem, Yisa, Babatunde, Biazar, Jafar. (1401). Numerical solution of space fractional diffusion equation using shifted Gegenbauer polynomials. سامانه مدیریت نشریات علمی, 10(2), 431-444. doi: 10.22034/cmde.2020.42106.1818
Kazeem Issa; Babatunde M. Yisa; Jafar Biazar. "Numerical solution of space fractional diffusion equation using shifted Gegenbauer polynomials". سامانه مدیریت نشریات علمی, 10, 2, 1401, 431-444. doi: 10.22034/cmde.2020.42106.1818
Issa, Kazeem, Yisa, Babatunde, Biazar, Jafar. (1401). 'Numerical solution of space fractional diffusion equation using shifted Gegenbauer polynomials', سامانه مدیریت نشریات علمی, 10(2), pp. 431-444. doi: 10.22034/cmde.2020.42106.1818
Issa, Kazeem, Yisa, Babatunde, Biazar, Jafar. Numerical solution of space fractional diffusion equation using shifted Gegenbauer polynomials. سامانه مدیریت نشریات علمی, 1401; 10(2): 431-444. doi: 10.22034/cmde.2020.42106.1818

Numerical solution of space fractional diffusion equation using shifted Gegenbauer polynomials

Computational Methods for Differential Equations
مقاله 11، دوره 10، شماره 2، تیر 2022، صفحه 431-444    اصل مقاله (251.41 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2020.42106.1818
نویسندگان
Kazeem Issa* 1؛ Babatunde M. Yisa2؛ Jafar Biazar3
1Department of Statistics and Mathematical Sciences, Kwara State University, Malete, Nigeria.
2Department of Mathematics, University of Ilorin, Ilorin, Nigeria.
3Department of Mathematical Sciences, University of Guilan, Rasht, Iran.
چکیده
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. 
کلیدواژه‌ها
Gegenbauer polynomial؛ Caputo derivative؛ Fractional diffusion equation؛ Finite difference method
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