Baleanu, DumitruHuang, JianfeiTang, YifaZhao, YueArshad, Sadia2020-03-182025-09-182020-03-182025-09-182018Arshad, 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. 764-781.2079-73622079-7370https://doi.org/10.4208/eajam.280218.210518https://hdl.handle.net/20.500.12416/12244Arshad, Sadia/0000-0001-9085-5915A 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.eninfo:eu-repo/semantics/closedAccessFractional Diffusion EquationRiesz DerivativeHigh-Order ApproximationStabilityConvergenceArticle10.4208/eajam.280218.2105182-s2.0-85074306405