A Collocation Procedure for Treating the Time-Fractional FitzHugh–Nagumo Differential Equation Using Shifted Lucas Polynomials

A Collocation Procedure for Treating the Time-Fractional FitzHugh–Nagumo Differential Equation Using Shifted Lucas Polynomials

This work employs newly shifted Lucas polynomials to approximate solutions to the time-fractional Fitzhugh–Nagumo differential equation (TFFNDE) relevant to neuroscience. Novel essential formulae for the shifted Lucas polynomials are crucial for developing our suggested numerical approach. The analy...

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Bibliographic Details
Main Authors: Waleed Mohamed Abd-Elhameed, Omar Mazen Alqubori, Ahmed Gamal Atta
Format: Article
Language:English
Published: MDPI AG 2024-11-01
Series:Mathematics
Subjects:
Lucas polynomials
shifted polynomials
derivative formulas
operational matrices
numerical solutions
Online Access:https://www.mdpi.com/2227-7390/12/23/3672
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