Numerical Solutions for Nonlinear Ordinary and Fractional Duffing Equations Using Combined Fibonacci–Lucas Polynomials

Two nonlinear Duffing equations are numerically treated in this article. The nonlinear fractional-order Duffing equations and the second-order nonlinear Duffing equations are handled. Based on the collocation technique, we provide two numerical algorithms. To achieve this goal, a new family of basis...

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Bibliographic Details

Published in:	Axioms
Main Authors:	Waleed Mohamed Abd-Elhameed, Omar Mazen Alqubori, Amr Kamel Amin, Ahmed Gamal Atta
Format:	Article
Language:	English
Published:	MDPI AG 2025-04-01
Subjects:	Fibonacci–Lucas polynomials spectral methods nonlinear Duffing equation convergence analysis
Online Access:	https://www.mdpi.com/2075-1680/14/4/314