An improved homotopy perturbation method for solving local fractional nonlinear oscillators

Autor:	Yong-Ju Yang, Shun-Qin Wang
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	Control engineering systems. Automatic machinery (General) TJ212-225 Acoustics. Sound QC221-246
Zdroj:	Journal of Low Frequency Noise, Vibration and Active Control, Vol 38 (2019)
Druh dokumentu:	article
ISSN:	1461-3484 2048-4046 14613484
DOI:	10.1177/1461348418820676
Popis:	Local fractional nonlinear oscillators are studied by a modification of the homotopy perturbation method coupled with the variational iteration method. In the solution process, the fractional variational iteration method is adopted to transform the nonlinear oscillator equation into an integral equation, which is then decomposed into a series of equations, which are solved by the homotopy perturbation method. Two examples are given to show that the proposed method is simpler and more flexible than the classical homotopy perturbation method. It is also shown that the key to use this method is to select the appropriate decomposition of the initial value series.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/99ad15587d814245b7a0d71ae6cd138b Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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