Numerical Modeling: Simulating the Motion of a Pendulum

This paper delves into the numerical simulation of pendulum motion, focusing on the second-order linear ordinary differential equation that models pendulum swings. The study addresses the non-uniqueness of solutions and the dependence on initial conditions, which are crucial for accurate system modeling. The paper discusses the implications of non-uniqueness in moving average models and their resolution strategies. Through stability analysis and empirical testing with Python, we validate our numerical solutions and observe the effects of different parameters on pendulum motion. The research aims to enhance understanding of pendulum dynamics, which has applications in engineering, robotics, and aerospace.