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...
| Main Authors: | , , , , |
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| Format: | Article |
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Union of Researchers of Macedonia
2021
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| Online Access: | http://psasir.upm.edu.my/id/eprint/94393/ |
| _version_ | 1848861985020575744 |
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| author | Rasedee, Ahmad Fadly Nurullah Abdul Sathar, Mohamad Hassan Tze, Jin Wong Lee, Feng Koo Ramli, Nur Ainna |
| author_facet | Rasedee, Ahmad Fadly Nurullah Abdul Sathar, Mohamad Hassan Tze, Jin Wong Lee, Feng Koo Ramli, Nur Ainna |
| author_sort | Rasedee, Ahmad Fadly Nurullah |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-15T13:09:49Z |
| format | Article |
| id | upm-94393 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-15T13:09:49Z |
| publishDate | 2021 |
| publisher | Union of Researchers of Macedonia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-943932023-04-05T02:06:43Z http://psasir.upm.edu.my/id/eprint/94393/ Numerical solution for Duffing-Van Der Pol Oscillator via block method Rasedee, Ahmad Fadly Nurullah Abdul Sathar, Mohamad Hassan Tze, Jin Wong Lee, Feng Koo Ramli, Nur Ainna 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. Union of Researchers of Macedonia 2021 Article PeerReviewed 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 https://www.research-publication.com/amsj/all-issues/vol-10/iss-01 10.37418/amsj.10.1.3 |
| spellingShingle | Rasedee, Ahmad Fadly Nurullah Abdul Sathar, Mohamad Hassan Tze, Jin Wong Lee, Feng Koo Ramli, Nur Ainna Numerical solution for Duffing-Van Der Pol Oscillator via block method |
| title | Numerical solution for Duffing-Van Der Pol Oscillator via block method |
| title_full | Numerical solution for Duffing-Van Der Pol Oscillator via block method |
| title_fullStr | Numerical solution for Duffing-Van Der Pol Oscillator via block method |
| title_full_unstemmed | Numerical solution for Duffing-Van Der Pol Oscillator via block method |
| title_short | Numerical solution for Duffing-Van Der Pol Oscillator via block method |
| title_sort | numerical solution for duffing-van der pol oscillator via block method |
| url | http://psasir.upm.edu.my/id/eprint/94393/ http://psasir.upm.edu.my/id/eprint/94393/ http://psasir.upm.edu.my/id/eprint/94393/ |