Analytical Solution to Pendulum-Cart System

Authors

  • Alvaro H. Salas S. Universidad Nacional de Colombia, Fizmako Research Group, Colombia.

DOI:

https://doi.org/10.9734/bpi/rumcs/v4/3090G

Keywords:

Pendulum-cart system oscillator, analytical approximations, ansatz method, Runge-Kutta numerical approximation, global maximum error

Abstract

In the present investigation, some novel analytical approximations to both unforced and forced pendulum-cart system oscillators are obtained. In our investigation, the ansatz method is employed for getting the approximations for the mentioned system. The obtained approximations are compared with the Runge-Kutta (RK4) numerical approximation. Also, the global maximum error is estimated as compared to RK4 numerical approximation.

Downloads

Published

2024-04-11

How to Cite

Alvaro H. Salas S. (2024). Analytical Solution to Pendulum-Cart System. Research Updates in Mathematics and Computer Science Vol. 4, 175–184. https://doi.org/10.9734/bpi/rumcs/v4/3090G

Issue

Research Updates in Mathematics and Computer Science Vol. 4

Section

Chapters