Neville, J.F., Xiao, J.Y. and Yan, Y.B. (2014) A Finite Element Method for Time Fractional Partial Differential Equations. Fractional Calculus & Applied Analysis, 14, 454-474.

has been cited by the following article:

• TITLE: A Class of Semi-Implicit Parallel Difference Method for Time Fractional Diffusion Equations

  AUTHORS: Lifei Wu, Jiake Sun, Xiaozhong Yang

  KEYWORDS: Time Fractional Diffusion Equation, Group Explicit Scheme, Stability, Parallel Computation, Numerical Experiment

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.8 No.1, January 10, 2020

  ABSTRACT: In this paper, we construct a class of semi-implicit difference method for time fractional diffusion equations—the group explicit (GE) difference scheme, which is a difference scheme with good parallelism constructed using Saul’yev asymmetric scheme. The stability and convergence of the GE scheme of time fractional diffusion equation are analyzed by mathematical induction. Then, the theoretical analysis is verified by numerical experiments, which shows that the GE scheme is effective for solving the time fractional diffusion equation.