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...
Saved in:
| 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: | |
| Online Access: | https://www.mdpi.com/2075-1680/14/4/314 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
New expressions for certain polynomials combining Fibonacci and Lucas polynomials
by: Waleed Mohamed Abd-Elhameed, et al.
Published: (2025-02-01) -
ON THE ZEROS OF THE DERIVATIVES OF FIBONACCI AND LUCAS POLYNOMIALS
by: Nihal Yılmaz Özgür, et al.
Published: (2015-08-01) -
GENERALIZED IDENTITIES OF BIVARIATE FIBONACCI AND BIVARIATE LUCAS POLYNOMIALS
by: Jaya Bhandari, et al.
Published: (2020-12-01) -
VECTOR APPROACH TO A NEW GENERALIZATION OF FIBONACCI POLYNOMIAL
by: Ashok Dnyandeo Godase, et al.
Published: (2017-07-01) -
Spectral tau technique via Lucas polynomials for the time-fractional diffusion equation
by: Waleed Mohamed Abd-Elhameed, et al.
Published: (2024-12-01)