求解时间分数型FitzHugh-Nagumo方程的有限差分β-分数方法

IF 6.2 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

alexandria engineering journal Pub Date : 2025-04-16 DOI:10.1016/j.aej.2025.04.035

Majeed Ahmad Yousif , Dumitru Baleanu , Mohamed Abdelwahed , Shrooq Mohammed Azzo , Pshtiwan Othman Mohammed

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引用次数: 0

摘要

本文提出了一种求解时间分数FitzHugh-Nagumo （TFFHN）方程的数值方法，这是物理学中的一个关键方程。该方法利用有限差分技术对β-分数阶导数进行积分。稳定性分析证实了该方法是条件稳定的。数值实验证明了该方法的有效性，在范数误差方面优于三次b样条法。还介绍了收敛的实验顺序，强调了该方法的准确性和效率，并强调了其在各种物理应用中求解时间分数阶微分方程的潜力。

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Finite difference β-fractional approach for solving the time-fractional FitzHugh–Nagumo equation

This study presents a numerical approach for addressing the time-fractional FitzHugh–Nagumo (TFFHN) equation, a key equation in physics. The method integrates

β

-fractional derivatives s with the finite difference technique. Stability analysis confirms that the proposed method is conditionally stable. Numerical experiments demonstrate its effectiveness, outperforming the cubic B-spline method regarding norm errors. The experimental order of convergence is also presented, highlighting the accuracy and efficiency of the approach, and emphasizing its potential for solving time-fractional differential equations across various physical applications.

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来源期刊

alexandria engineering journal Engineering-General Engineering

CiteScore

11.20

自引率

4.40%

发文量

1015

审稿时长

43 days

期刊介绍： Alexandria Engineering Journal is an international journal devoted to publishing high quality papers in the field of engineering and applied science. Alexandria Engineering Journal is cited in the Engineering Information Services (EIS) and the Chemical Abstracts (CA). The papers published in Alexandria Engineering Journal are grouped into five sections, according to the following classification: • Mechanical, Production, Marine and Textile Engineering • Electrical Engineering, Computer Science and Nuclear Engineering • Civil and Architecture Engineering • Chemical Engineering and Applied Sciences • Environmental Engineering