Time Steps Distribution in Numerical Technique: A Comparative Analysis of Third and Fourth Order Runge-kutta Algorithms
Asian Journal of Research and Reviews in Physics · pp. 9–17 · Published 13 Feb 2023
10.9734/ajr2p/2023/v7i1130Abstract
To analyze a harmonically Van der Pol oscillator, this work used a combination of graphs, time steps distribution, adaptive time steps Runge-Kutta, and fourth order algorithms. The goal is to examine the performance of third and fourth order Runge-Kutta algorithms in finding chaotic solutions for a harmonically excited Van der Pol oscillator. Fourth-order algorithms favor larger time steps and are thus faster to execute than third-order algorithms in all circumstances studied. The accuracy of the data acquired with third order is worth the longer overall computation time steps period reported
References (5)
- 1 THE DYNAMICS OF RUNGE–KUTTA METHODS [DOI]
- 2 Modeling and Analysis of Modern Fluid Problems [DOI]
- 3 Advanced adhesives in electronics, materials, properties and applications
- 4 Investigating duffing oscillator using bifurcation diagrams
- 5 Comparative analysis of time steps distribution in Runge-Kutta algorithms
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