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International Journal of Scientific and Engineering Research
ISSN Online 2229-5518
ISSN Print: 2229-5518 1    
Website: http://www.ijser.org
scirp IJSER >> Volume 3,Issue 1,January 2012
Comparative Analysis of Time Steps Distribution in Runge-Kutta Algorithms
Full Text(PDF, )  PP.253-257  
Author(s)
Salau, T.A.O., Ajide, O.O
KEYWORDS
Algorithms, Chaotic Solutions, Duffing Oscillator, Harmonically Excited, Phase Plots, Runge-Kutta and Time Steps
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 algorithms performance as tools 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 results obtained with fourth order worth its higher recorded total computation time steps period.
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