A Collocation Approach for the Nonlinear Fifth-Order KdV Equations Using Certain Shifted Horadam Polynomials

A Collocation Approach for the Nonlinear Fifth-Order KdV Equations Using Certain Shifted Horadam Polynomials

This paper proposes a numerical algorithm for the nonlinear fifth-order Korteweg–de Vries equations. This class of equations is known for its significance in modeling various complex wave phenomena in physics and engineering. The approximate solutions are expressed in terms of certain shifted Horada...

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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 2025-01-01
Series:Mathematics
Subjects:
generalized Fibonacci polynomials
Korteweg–de Vries equations
operational matrices
convergence analysis
collocation method
Online Access:https://www.mdpi.com/2227-7390/13/2/300
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