A Trigonometric Approach to Time Fractional FitzHugh-Nagumo Model on Nerve Pulse Propagation

Autor:	Berat KARAAGAC
Rok vydání:	2022
Předmět:	Matematik General Energy Time fractional Fitzhugh-Nagumo model finite element method collocation Mathematics
Zdroj:	Volume: 10, Issue: 3 135-145 Mathematical Sciences and Applications E-Notes
ISSN:	2147-6268
DOI:	10.36753/mathenot.1025072
Popis:	The aim of this paper is to put on display the numerical solutions and dynamics of time fractional Fitzhugh-Nagumo model, which is an important nonlinear reaction-diffusion equation. For this purpose, finite element method based on trigonometric cubic B-splines are used to obtain numerical solutions of the model. In this model, the derivative which is fractional order is taken in terms of Caputo. Thus, time dicretization is made using L1L1 algorithm for Caputo derivative and space discretization is made using trigonometric cubic B- spline basis. Also, the non-linear term in the model is linearized by the Rubin Graves type linearization. The error norms are calculated for measuring the accuracy of the finite element method. The comparison of numerical and exact solutions are exhibited via tables and graphics.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::89d5aa530075d59f2e5d76f82cc81f71 https://doi.org/10.36753/mathenot.1025072 Zobrazit plný text záznamu