Abstract
ABSTRACTEmploying finite element method in spatial direction and Crank–Nicolson scheme in temporal direction, a fully discrete scheme with high accuracy is established for a class of two-dimensional time fractional diffusion-wave equation with Caputo fractional derivative. Unconditional stability analysis of the approximate scheme is proposed. The spatial global superconvergence and temporal convergence of order for the original variable in -norm is presented by means of properties of bilinear element and interpolation postprocessing technique without Ritz projection, where h and τ are the step sizes in space and time, respectively. Finally, several numerical results are implemented to evaluate the efficiency of the theoretical results on both regular and anisotropic meshes.
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