Diseño de un algoritmo empleando métodos numéricos para solucionar la ecuación de onda en un medio elástico bidimensional.

Abstract

A numerical solution of the wave equation in elastic media is presented. Because the wave is transmitted in an elastic medium, the elasticodynamic equations that better describe the movement of the wave in this type of medium are taken as the starting point for modeling. These equations are written in temporal and spatial operators. The derivatives with respect to time and space are solved using a second order approximation through finite difference operators centered. The model is established by the use of speed and tension in a discrete and stepped 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 mathematically analyzed taking into account the lick coefficients, reflection and transmission of the wave to see the natural wave behavior. Given the fact that the modeling of the wave is computational, the propagation field is limited, which is why an absorption is made at the edges to be able to visualize the wave as in a real medium where the wave loses strength with the passage of time steppedstept Definiciones de step adjetivo having or formed into a step or series of steps. a building with stepped access verbo lift and set down one's foot or one foot after the other in order to walk somewhere or move to a new position.