Title : ( Gegenbauer spectral method for time-fractional convection–diffusion equations with variable coefficients )
Authors: Mohammad Mahdi Izadkhah , Jafar Saberi- Nadjafi ,
Full TextAbstract
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.
Keywords
, Riemann-Liouville fractional derivative, Caputo's fractional derivative, time fractional convection-diffusion equation, time fractional Fokker-Planck equation, 2D Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivatives, Gegenbauer polynomials, Pseudospectral m
@article{paperid:1047706,
author = {Izadkhah, Mohammad Mahdi and Saberi- Nadjafi, Jafar},
title = {Gegenbauer spectral method for time-fractional convection–diffusion equations with variable coefficients},
journal = {Mathematical Methods in the Applied Sciences},
year = {2014},
month = {June},
issn = {0170-4214},
pages = {1--12},
numpages = {11},
keywords = {Riemann-Liouville fractional derivative; Caputo's fractional derivative; time fractional convection-diffusion equation; time fractional Fokker-Planck equation; 2D Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivatives; Gegenbauer polynomials; Pseudospectral method; spectral differentiation matrix.},
}
%0 Journal Article
%T Gegenbauer spectral method for time-fractional convection–diffusion equations with variable coefficients
%A Izadkhah, Mohammad Mahdi
%A Saberi- Nadjafi, Jafar
%J Mathematical Methods in the Applied Sciences
%@ 0170-4214
%D 2014
