TY - JOUR
ID - 12221
TI - Numerical solution of space fractional diffusion equation using shifted Gegenbauer polynomials
JO - Computational Methods for Differential Equations
JA - CMDE
LA - en
SN - 2345-3982
AU - Issa, Kazeem
AU - Yisa, Babatunde M.
AU - Biazar, Jafar
AD - Department of Statistics and Mathematical Sciences, Kwara State University, Malete, Nigeria.
AD - Department of Mathematics, University of Ilorin, Ilorin, Nigeria.
AD - Department of Mathematical Sciences, University of Guilan, Rasht, Iran.
Y1 - 2022
PY - 2022
VL - 10
IS - 2
SP - 431
EP - 444
KW - Gegenbauer polynomial
KW - Caputo derivative
KW - Fractional diffusion equation
KW - finite difference method
DO - 10.22034/cmde.2020.42106.1818
N2 - 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.
UR - https://cmde.tabrizu.ac.ir/article_12221.html
L1 - https://cmde.tabrizu.ac.ir/article_12221_076547f1cc5f7ba9dcca97c63c0840ec.pdf
ER -