UTILIZAÇÃO DE MÉTODOS NUMÉRICOS PARA EQUAÇÕES DIFERENCIAIS ORDINÁRIAS DE SEGUNDA ORDEM APLICADA A ANÁLISE DE CIRCUITOS

Abstract

Ordinary Differential Equations model the most varied phenomena of nature, in several areas of science and engineering, such as electromagnetism, fluid dynamics, among others. Due to the complexity of finding an analytical solution for most practical problems that do not allow for simplifications, that is, those with a large number of complex variables and geometries, numerical solutions are commonly used to arrive at a satisfactory result, approaching the analytical solution or the experimental results of the problem in question. This article will present an example didactic application of Second Order Differential Equations in Electrical Engineering, more specifically in electric circuit theory, where a classical problem of known analyti cal solution will be solved numerically, using four classical numerical techniques, in order to if one compares the results obtained numerically with the analytical result, thus observing which of the methods best serves the solution of the problem in question.