A High Order Finite Difference/Spectral Approximations to the Time Fractional Diffusion Equations
In this paper, we consider the numerical solution of a time-fractional diffusion equation, which is obtained from the standard diffusion equation by replacing the first order time derivative with a fractional derivative of order α, with 03-α+N-m) , where Δt,N and m are the time step size, the polynomial degree and the regularity of the exact solution, respectively.
Duanling Li, Dawei Zheng and Jun Shi
J. Y. Cao et al., "A High Order Finite Difference/Spectral Approximations to the Time Fractional Diffusion Equations", Advanced Materials Research, Vols. 875-877, pp. 781-785, 2014