Vol 18.1 2020-1
SIMULATION AND PROGRAMMING OF THE SYSTEM THAT RULES THE COMPUEST PENDULUM
Julio Cesar Romero Pabón, Sergio Samuel Nieves Vanegas, Gabriel Mauricio Vergara Ríos
The study on the problem of the pendulum made up of approximation theories allows to understand the numerical behavior of the differential equation that governs this event. In this analysis the differential equation is solved analytically and numerically, for the numerical solution we used the Runge-Kutta method of fourth order for a system of differential equations, later we calculate the roots using the Bisection and Newton methods of the function that is obtained to solve the differential equation of the compound pendulum using the analytical reasoning. The analysis and comparison of the effectiveness of the methods used for both the solution of differential equations and for the calculation of roots is also done.
Keywords: compound pendulum, differential equation, approximation theory, Runge-Kutta, Bisection and Newton Raphson.