Análise numérica e simulação computacional: Movimento oscilatório do pêndulo simples utilizando programação Python

Abstract

This work primarily aims at the numerical analysis and computational simulation of the motion of a simple pendulum, using numerical methods to solve an ordinary differential equation (ODE), which play a fundamental role in modeling problems involving the oscillatory motion of a body, in particular, the motion of a simple pendulum. The methodology involved applying numerical methods such as the Euler method and the 4th-order Runge-Kutta method, implemented in Python, to simulate the motion under different initial conditions. The results obtained from the numerical methods were compared with the period found in PhET to validate their approximation. Based on this, we discussed the importance of integrating theory, experimentation, and computational analysis.