A pseudo-spectral based method for time-fractional advection-diffusion equation

Document Type : Research Paper


Department of Mathematics, Faculty of Sciences, University of Zanjan, Zanjan, Iran.


In this paper, a pseudo-spectral method with the Lagrange polynomial basis is proposed to solve the time-fractional advection-diffusion equation. A semi-discrete approximation scheme is used for conversion of this equation to a system of ordinary fractional differential equations. Also, to protect the high accuracy of the spectral approximation, the Mittag-Leffler function is used for the integration along the time variable. Some examples are performed to illustrate the accuracy and efficiency of the proposed method.


Volume 8, Issue 3
August 2020
Pages 454-467
  • Receive Date: 12 September 2018
  • Revise Date: 14 April 2019
  • Accept Date: 15 April 2019
  • First Publish Date: 01 August 2020