Solución de onda unidimensional por diferencias finitas

Abstract

The unidimensional wave equation is an imperative topic to be considered in the study of oscillatory phenomena, and mechanical vibrations. The analytical solution of this equation is addressed since the differential equations and partial derivatives field, as a topic, not always included in the engineer or science study program. Even more unprovable is that students from these careers, have the chance to study the numerical methods to solve this important equation. In this context and with the objective of offer more auxiliary didactic options to approach this important topic, was developed a Java environment system which uses the computer simulation to visualize the convergence process of a numerical algorithm, defined in terms of the Finite Difference numerical method, to obtain the solution to the unidimensional wave equation. The user interface of the simulator system, FDTDM-EcOnda, allows the graphical comparability of the analytical and numerical solutions. With this simulator is possible produce numerical value variation of the parameters and visualize the corresponding effect in the numerical solution involved. The simulator includes options to get curve adjustment and statically analysis to estimate the correlation between both solutions.