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 ( τ 2 + h 4 ) . Also, we prove the unconditional stability and convergence of the developed method. The numerical results show the efficiency of the provided numerical scheme. [ABSTRACT FROM AUTHOR]