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...

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Autores principales:	Waleed Mohamed Abd-Elhameed, Ahmed H. Al-Mehmadi, Naher Mohammed A. Alsafri, Omar Mazen Alqubori, Amr Kamel Amin, Ahmed Gamal Atta
Formato:	Artigo
Lenguaje:	Inglês
Publicado:	MDPI AG 2026-04-01
Colección:	Fractal and Fractional
Materias:	Caputo fractional derivative generalized Fibonacci polynomials Chebyshev polynomials collocation approach operational matrices convergence analysis
Acceso en línea:	https://www.mdpi.com/2504-3110/10/5/299
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