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Solving duffing type differential equations using a three-point block variable order step size method


Citation

Rasedee, Ahmad Fadly Nurullah and Abdul Sathar, Mohammad Hasan and Asbullah, Muhammad Asyraf and Koo, Lee Feng and Wong, Tze Jin and Ishak, Norizarina and Hamzah, Siti Raihana (2019) Solving duffing type differential equations using a three-point block variable order step size method. Journal of Physics: Conference Series, 1366 (1). art. no. 012024. pp. 1-7. ISSN 1742-6588; ESSN: 1742-6596

Abstract

This research proposes a three-point block method for solving Duffing type higher order ordinary differential equations (ODEs) which is also commonly referred as the Duffing oscillator. The research conducted implements a variable order step size technique for approximating the exact solution for the Duffing Oscillator. The proposed algorithm will be tested against various Duffing oscillators and numerical approximation will be compared with current viable methods. The accuracy and efficiency of the proposed method will be illustrated in the numerical results.


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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/10.1088/1742-6596/1366/1/012024
Publisher: Institute of Physics Publishing
Notes: 2nd International Conference on Applied & Industrial Mathematics and Statistics 23–25 July 2019, Kuantan, Pahang, Malaysia
Keywords: Three-point block method; Duffing; Ordinary differential equations (ODEs)
Depositing User: Mr. Sazali Mohamad
Date Deposited: 23 Aug 2021 02:42
Last Modified: 23 Aug 2021 02:42
Altmetrics: http://www.altmetrics.com/details.php?domain=pasir.upm.edu.my&doi=10.1088/1742-6596/1366/1/012024
URI: http://psasir.upm.edu.my/id/eprint/82207
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