Finite element analysis of nonlinear reaction–diffusion system of Fitzhugh–Nagumo type with Robin boundary conditions

Ghassan A. Al-Juaifri and Akil J. Harfash

Mathematics and Computers in Simulation (MATCOM), 2023, vol. 203, issue C, 486-517

Abstract: In this paper, we investigate the numerical analysis of Fitzhugh–Nagumo (FHN) reaction–diffusion equations. The properties of numerical solutions of a semi-discrete and fully-practical piecewise linear finite element technique are provided. Moreover, for a semi-discrete and fully discrete finite element approximation, we establish a priori estimates and error bounds. We also introduce the results of some numerical examples in one and two dimensions, which confirm the theoretical findings of this paper.

Keywords: Semi-discrete approximation; Fully discrete approximation; Robin boundary; Fitzhugh–Nagumo; Error bounds (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:203:y:2023:i:c:p:486-517

DOI: 10.1016/j.matcom.2022.07.005

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