Comparative Analysis of Time Steps Distribution in Runge-Kutta Algorithms

Abstract

This study utilized combination of phase plots,time Steps distribution and adaptive time steps Runge-Kutta and fifth order algorithms to investigate a harmonically Duffing oscillator.The object is to visually compare fourth and fifth order Runge-Kutta algorithm performance as took for seeking the chaotic solutions of a harmonically excited Duffing oscillator.Though fifth order algorithms favours higher time steps and as such faster to execute than fourth order for all studied cases.The reliability of mults obtained  with fourth order worth its higher recorded total computation time steps period.