The propagation of waves are natural or artificial phenomena that are transmitted in elastic media, their propagation is mulled using dynamic elastic differential equations which have a temporal and a spatial component which must be solved numerically. Derivatives with respect to time and space are solved using a second-order approximation through finite-centered finite-difference operators. Because the modeling is in an isotropic environment the values of the spatial axis are positive in depth. The model is established by the use of speed and voltage in a discrete and staggered grid, which takes into account the deformation generated in the medium due to the voltage and the impact of the wave in it. This deformation effect will be analyzed mathematically taking into account the coefficients of lame, reflection and transmission of the wave to see the natural wave behavior. Given the fact that the modeling of the wave is computational, a treatment is made to the conditions of stability and dispersion so as not to obtain erroneous results and to be able to visualize the wave with a more real behavior. Edge absorption methods were analyzed to avoid the visualization of non - existent reflections in the elastic medium.