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


Citation

Rasedee, Ahmad Fadly Nurullah and Abdul Sathar, Mohamad Hassan and Tze, Jin Wong and Lee, Feng Koo and Ramli, Nur Ainna (2021) Numerical solution for Duffing-Van Der Pol Oscillator via block method. Advances in Mathematics: Scientific Journal, 10 (1). 19 - 28. ISSN 1857-8365; ESSN: 1857- 8438

Abstract

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.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Agriculture and Food Sciences
Centre of Foundation Studies for Agricultural Science
DOI Number: https://doi.org/10.37418/amsj.10.1.3
Publisher: Union of Researchers of Macedonia
Keywords: ODE, Block method; Backward difference; Multistep; Duffing-Van Der Pol
Depositing User: Ms. Nur Faseha Mohd Kadim
Date Deposited: 05 Apr 2023 02:06
Last Modified: 05 Apr 2023 02:06
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.37418/amsj.10.1.3
URI: http://psasir.upm.edu.my/id/eprint/94393
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