This paper studies the efficient numerical algorithms for spatiotemporal fractional diffusion equations,in which Caputo type fractional derivatives are used in time and Riemann-Liouville type fractional derivatives are used in space.Firstly,a uniformly convergent high-order numerical discretization scheme is used in time,and the shifted Grünwald-Letnikov formula is used in space for discretization.Secondly,the coefficient matrix structure of the dis-cretized algebraic equations is analyzed,and a fast computing method for solving the spatiotemporal fractional order is established by using fast Fourier transform and GMRES iterative method.Finally,the numerical results show that the numerical scheme is effective.
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