Arshad, SadiaBaleanu, DumitruHuang, JianfeiTang, YifaZhao, Yue2020-03-182020-03-182018-11Arshad, Sadia...et al. (2018). "A Fourth Order Finite Difference Method for Time-Space Fractional Diffusion Equations", East Asian Journal on Applied Mathematics, Vol. 8, No. 4, pp. 764-781.2079-7362http://hdl.handle.net/20.500.12416/2679A finite difference method for a class of time-space fractional diffusion equations is considered. The trapezoidal formula and a fourth-order fractional compact difference scheme are, respectively, used in temporal and spatial discretisations and the method stability is studied. Theoretical estimates of the convergence in the L-2 -norm are shown to be O(tau(2) + h(4)), where tau and h are time and space mesh sizes. Numerical examples confirm theoretical results.enginfo:eu-repo/semantics/closedAccessFractional Diffusion EquationRiesz DerivativeHigh-Order ApproximationStabilityConvergencearticle84764781