A New Two-Step Hybrid Block Method for the FitzHugh–Nagumo Model Equation

Date

2023-12-23

Advisors

Journal Title

Journal ISSN

ISSN

Volume Title

Publisher

MDPI

Type

Article

Peer reviewed

Yes

Abstract

This paper presents an efficient two-step hybrid block method (ETHBM) to obtain an approximate solution to the FitzHugh–Nagumo problem. The considered partial differential equation model problems are semi-discretized, reducing them to equivalent ordinary differential equations using the method of lines. In order to evaluate the effectiveness of the proposed ETHBM, three numerical examples are presented and compared with the results obtained through existing methods. The results demonstrate that the proposed ETHBM produces more efficient results than some other numerical approaches in the literature.

Description

Keywords

hybrid block method, partial differential equations, collocation method, FitzHugh–Nagumo equations, stability analysis

Citation

Rufai, M.A.; Kosti, A.A.; Anastassi, Z.A.; Carpentieri, B. (2024) A New Two-Step Hybrid Block Method for the FitzHugh–Nagumo Model Equation. Mathematics, 12, 51

Rights

Attribution 2.0 UK: England & Wales
http://creativecommons.org/licenses/by/2.0/uk/

Research Institute

Institute of Artificial Intelligence (IAI)