Fourth-order numerical method for the space-time tempered fractional diffusion-wave equation

The main aim of the current paper is to develop a high-order numerical scheme to solve the space-time tempered fractional diffusion-wave equation. The convergence order of the proposed method is O(τ2+h4). Also, we prove the unconditional stability and convergence of the developed method. The numerical results show the efficiency of the provided numerical scheme.