A collocation method for fractional diffusion equation in a long time with Chebyshev functions
作者：
Highlights：
• Diffusion equation with fractional derivative on time and space is considered.
• The employed fractional derivative is in the Caputo sense.
• A class of shifted Chebyshev polynomials for the space area is considered.
• A collection of rational Chebyshev functions for the time domain is considered.
• The convergence estimate of the new scheme have been concluded in the paper.
摘要
•Diffusion equation with fractional derivative on time and space is considered.•The employed fractional derivative is in the Caputo sense.•A class of shifted Chebyshev polynomials for the space area is considered.•A collection of rational Chebyshev functions for the time domain is considered.•The convergence estimate of the new scheme have been concluded in the paper.
论文关键词：Caputo derivative,Rational Chebyshev functions,Shifted Chebyshev polynomials,Fractional diffusion equation(FDE),Error analysis
论文评审过程：Received 4 February 2017, Revised 10 September 2017, Accepted 21 November 2017, Available online 13 December 2017, Version of Record 13 December 2017.
论文官网地址：https://doi.org/10.1016/j.amc.2017.11.048
