Numerical solution for Duffing-Van Der Pol Oscillator via block method

The Duffing-Van Der Pol Oscillators is an interesting differential problem with many applications in mechanics and fluid dynamics. Among its most known application involves the chaotic motions in periodic-self excited oscillators and occasionally used to model hydrodynamic forces on canonical stru...

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Bibliographic Details
Main Authors: Rasedee, Ahmad Fadly Nurullah, Abdul Sathar, Mohamad Hassan, Tze, Jin Wong, Lee, Feng Koo, Ramli, Nur Ainna
Format: Article
Published: Union of Researchers of Macedonia 2021
Description
Summary:The Duffing-Van Der Pol Oscillators is an interesting differential problem with many applications in mechanics and fluid dynamics. Among its most known application involves the chaotic motions in periodic-self excited oscillators and occasionally used to model hydrodynamic forces on canonical structures. The current work aims to provide a numerical solution for the Duffing-Van Der Pol Oscillators in second order differential form using a two-point block method. The two-point block algorithm will be coded in C programming to minimize computational cost (calculation time). Results will show that the proposed method is a practical tool for solving nonlinear differential equation.