Research Article
Gegenbauer spectral method for time-fractional convection–diffusion equations with variable coefficients
Mohammad Mahdi Izadkhah,
Jafar Saberi-Nadjafi,
Corresponding Author
Mohammad Mahdi Izadkhah
Department of Applied Mathematics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran
Correspondence to: M. M. Izadkhah, Department of Applied Mathematics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran.
E-mail: [email protected]
Search for more papers by this authorJafar Saberi-Nadjafi
Department of Applied Mathematics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran
Search for more papers by this authorMohammad Mahdi Izadkhah,
Jafar Saberi-Nadjafi,
Corresponding Author
Mohammad Mahdi Izadkhah
Department of Applied Mathematics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran
Correspondence to: M. M. Izadkhah, Department of Applied Mathematics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran.
E-mail: [email protected]
Search for more papers by this authorJafar Saberi-Nadjafi
Department of Applied Mathematics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran
Search for more papers by this authorAbstract
In this paper, we study the numerical solution to time-fractional partial differential equations with variable coefficients that involve temporal Caputo derivative. A spectral method based on Gegenbauer polynomials is taken for approximating the solution of the given time-fractional partial differential equation in time and a collocation method in space. The suggested method reduces this type of equation to the solution of a linear algebraic system. Finally, some numerical examples are presented to illustrate the efficiency and accuracy of the proposed method. Copyright © 2014 John Wiley & Sons, Ltd.
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