A combined compact finite difference scheme for solving the acoustic wave equation in heterogeneous media

In this paper, we consider the development and analysis of a new explicit compact high-order finite difference scheme for acoustic wave equation formulated in divergence form, which is widely used to describe seismic propagation through heterogeneous media with variable density velocity. The fourth-order accuracy space second-order time. compactness obtained by so-called combined method, utilizes boundary values spatial derivatives those are one-sided approximation. An empirical stability has been conducted obtain Courant-Friedrichs-Levy (CFL) condition, confirmed conditional scheme. Four numerical examples have validate convergence effectiveness application realistic problem Perfect Matched Layer validated paper as well.