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Numerical Solution for Gas Dynamics Equation Involving Caputo-Time Fractional Derivative Using a Family of Shifted Chebyshev Polynomials

This study develops an effective numerical method for addressing the time-fractional gas dynamics equation formulated with the Caputo time-fractional derivative. Novel basis functions are utilized, formulated as particular generalized Fibonacci polynomials contingent on a free parameter. This family...

Ausführliche Beschreibung

Gespeichert in:
Hauptverfasser: Waleed Mohamed Abd-Elhameed, Ahmed H. Al-Mehmadi, Naher Mohammed A. Alsafri, Omar Mazen Alqubori, Amr Kamel Amin, Ahmed Gamal Atta
Format: Artigo
Sprache:Inglês
Veröffentlicht: MDPI AG 2026-04-01
Schriftenreihe:Fractal and Fractional
Schlagworte:
Caputo fractional derivative
generalized Fibonacci polynomials
Chebyshev polynomials
collocation approach
operational matrices
convergence analysis
Online-Zugang:https://www.mdpi.com/2504-3110/10/5/299
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