Second-order time integrators with the Fourier spectral method in application to multidimensional space-fractional FitzHugh-Nagumo model

Autor:	Harish Bhatt
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	fourier spectral method second-order time integrators space-fractional reaction-diffusion systems excitable systems fitzhugh-nagumo model Mathematics QA1-939 Applied mathematics. Quantitative methods T57-57.97
Zdroj:	Electronic Research Archive, Vol 31, Iss 12, Pp 7284-7306 (2023)
Druh dokumentu:	article
ISSN:	2688-1594
DOI:	10.3934/era.2023369?viewType=HTML
Popis:	This paper investigated the propagation and interaction behavior of the fractional-in-space multidimensional FitzHugh-Nagumo model using second-order time integrators in combination with the Fourier spectral method. The study focused on analyzing the accuracy, efficiency and stability of these time integrators by comparing numerical results. The experimental findings highlight the ease of implementation and suitability of the methods for long-time simulations. Furthermore, the method's capability to capture the influence of the fractional operator on the equation's dynamics was examined.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/8427ca965a1b414cb18f73a6ec048125 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
Nepřihlášeným uživatelům se plný text nezobrazuje	K zobrazení výsledku je třeba se přihlásit.