Numerical simulation of a class of space fractional bistable systems based on the Fourier spectral method

Autor:	Haitao Liu, Wang Yulan, Li Cao, Wei Zhang
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:	10.1177/14613484211063747
Popis:	Nonlinear vibration arises everywhere in a bistable system. The bistable system has been widely applied in physics, biology, and chemistry. In this article, in order to numerically simulate a class of space fractional-order bistable system, we introduce a numerical approach based on the modified Fourier spectral method and fourth-order Runge-Kutta method. The fourth-order Runge-Kutta method is used in time, and the Fourier spectrum is used in space to approximate the solution of the space fractional-order bistable system. Numerical experiments are given to illustrate the effectiveness of this method.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/cd0e79998cff426281aebace22348e0e Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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