Soluções de referência para a equação da onda unidimensional

Abstract

The development of numerical methods for Di erential Equations is of great importance for the comprehension of several phenomenons, since, in general, the exact solution of these equations is not known. On the other hand, these methods turned to be pretty effective along the years, di culting the comparison between them in terms of precision. In this work, it is presented, as a support to comparison of parameter adjustment based numerical methods, the exact solution of the unidimensional Wave Equation applied to vibration of a string submitted to determined initial and boundary conditions. For the utility veri cation of the obtained solution, this work also approximates the analytical solution using the Galerkin Method, considering other numerical methods that makes time related comparisons, also presenting a study about the function sets used in the Galerkin Method.