Semi-analytical solution of non-homogeneous Duffing oscillator equation by the Padé differential transformation algorithm

Autor:	Noufe H Aljahdaly, Maram A Alharbi
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	Control engineering systems. Automatic machinery (General) TJ212-225 Acoustics. Sound QC221-246
Zdroj:	Journal of Low Frequency Noise, Vibration and Active Control, Vol 41 (2022)
Druh dokumentu:	article
ISSN:	1461-3484 2048-4046 14613484
DOI:	10.1177/14613484221107355
Popis:	The Duffing oscillator equation is one of important equations that model several nonlinear phenomena in science and engineering. The differential transform method (DTM) is applied to obtain the solutions of homogeneous and non-homogeneous Duffing oscillator equations under the influence of different initial conditions. In fact, the DTM can only find the solutions of the Duffing oscillator equation in a small domain, therefore the method has been improved using Padé approximation. We obtain the solutions by the Padé-DTM (PDTM) in long domain. This article proves the validity, simplicity and applicability of the PDTM method. In addition, the accuracy of the PDTM and the instability of the solution are discussed.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/fc39149394d24672a1e5ec44b14e89dc Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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