Numerical Simulation for a Multidimensional Fourth-Order Nonlinear Fractional Subdiffusion Model with Time Delay

The purpose of this paper is to develop a numerical scheme for the two-dimensional fourth-order fractional subdiffusion equation with variable coefficients and delay. Using L2?1? approximation time Caputo derivative, finite difference method second-order accuracy in temporal direction achieved. novelty introduce problem under consideration coefficients, nonlinear source term, delay constant. results show that global convergence orders spatial dimensions are approximately fourth order space time.