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

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
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
Series:Axioms
Subjects:
Fibonacci–Lucas polynomials
spectral methods
nonlinear Duffing equation
convergence analysis
Online Access:https://www.mdpi.com/2075-1680/14/4/314
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