An approximate solution based on Jacobi polynomials for time-fractional convection–diffusion equation
作者：
Highlights：
• Operational matrix of shifted Jacobi polynomials is considered.
• Solution of time-fractional order convection–diffusion problem is numerically estimated.
• Main problem is converted to a homogeneous problem by interpolation and afterward an integro-differential equation is yielded.
• A system of nonlinear algebraic equations is achieved by approximating the known and unknown functions with the help of shifted Jacobi functions.
• Problem can be used extensively in science and engineering as in oil reservoir simulations.
摘要
•Operational matrix of shifted Jacobi polynomials is considered.•Solution of time-fractional order convection–diffusion problem is numerically estimated.•Main problem is converted to a homogeneous problem by interpolation and afterward an integro-differential equation is yielded.•A system of nonlinear algebraic equations is achieved by approximating the known and unknown functions with the help of shifted Jacobi functions.•Problem can be used extensively in science and engineering as in oil reservoir simulations.
论文关键词：Time-fractional convection–diffusion equation,Caputo fractional derivative,Jacobi polynomials
论文评审过程：Received 21 May 2016, Revised 10 September 2016, Accepted 30 September 2016, Available online 22 October 2016, Version of Record 22 October 2016.
论文官网地址：https://doi.org/10.1016/j.amc.2016.09.028
