Pointwise error estimate of an alternating direction implicit difference scheme for two-dimensional time-fractional diffusion equation

α#x02010;robust H1‐norm convergence analysis of L1FEM‐ADI scheme for 2D/3D subdiffusion equation with initial singularity

“…The time-fractional diffusion partial differential equations (PDEs) have been widely studied in earlier studies [1][2][3][4] as the equations can describe anomalous diffusion phenomena very well. The works in previous research [5][6][7][8] apply the finite difference method to construct the alternating direction implicit (ADI) schemes for two-dimensional time-fractional diffusion equations. Li et al [9] analyzed the finite element ADI scheme for two-dimensional time-fractional diffusion-wave equation.…”