Numerical-analytical method for solving the forward dynamical seismic problems

When solving the multi-dimensional problems of theory of the seismic wave propagation, the numerical-analytical method, based on the combination of finite integral transforms with the finite-difference method is gaining in importance in the last few years. In this paper, instead of the finite difference method with respect to one spatial coordinate and time, we propose to use the finite difference approximation with respect to only the spatial coordinate with a subsequent analytical solution of the obtained system of ordinary differential equations.