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We consider elasticity (elastic wave) equations for solving acoustics problems. We use the finite difference method on staggered grids to solve the elastic wave equations. On staggered grids, the pressure is computed at a set of spatial points, and the velocity is computed at another set of spatial points. An advantage of using staggered grids is that fluxes do not need to be approximated in the solving process, as the flux values are known. Numerical results confirm that our numerical method is reliable.

A staggered grid finite difference method for solving the elastic wave equations