Citation
Rasedee, Ahmad Fadly Nurullah and Ishak, Norizarina and Hamzah, Siti Raihana and Ijam, Hazizah Mohd and Suleiman, Mohamed and Ibrahim, Zarina Bibi and Sathar, Mohammad Hasan Abdul and Ramli, Nur Ainna and Kamaruddin, Nur Shuhada
(2017)
Variable order variable stepsize algorithm for solving nonlinear Duffing oscillator.
Journal of Physics: Conference Series, 890 (1).
art. no. 012045.
pp. 1-7.
ISSN 1742-6588; ESSN: 1742-6596
Abstract
Nonlinear phenomena in science and engineering such as a periodically forced oscillator with nonlinear elasticity are often modeled by the Duffing oscillator (Duffing equation). The Duffling oscillator is a type of nonlinear higher order differential equation. In this research, a numerical approximation for solving the Duffing oscillator directly is introduced using a variable order stepsize (VOS) algorithm coupled with a backward difference formulation. By selecting the appropriate restrictions, the VOS algorithm provides a cost efficient computational code without affecting its accuracy. Numerical results have demonstrated the advantages of a variable order stepsize algorithm over conventional methods in terms of total steps and accuracy.
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