Application of the operational matrix of fractional-order Legendre functions for solving the time-fractional convection–diffusion equation
作者：
Highlights：
• The operational matrix of fractional-order Legendre functions method are considered.
• The fractional order convection–diffusion problem is solved.
• The problem can be used extensively in science and engineering as in oil reservoir simulations.
• Problems which, an initially discontinuous profile is propagated by diffusion and convection.
摘要
•The operational matrix of fractional-order Legendre functions method are considered.•The fractional order convection–diffusion problem is solved.•The problem can be used extensively in science and engineering as in oil reservoir simulations.•Problems which, an initially discontinuous profile is propagated by diffusion and convection.
论文关键词：Fractional-order Legendre functions,Time-fractional convection–diffusion equation,Operational matrix
论文评审过程：Received 28 April 2014, Revised 30 October 2014, Accepted 3 May 2015, Available online 2 June 2015, Version of Record 2 June 2015.
论文官网地址：https://doi.org/10.1016/j.amc.2015.05.003
