Eighth-Kind Chebyshev Polynomials Collocation Algorithm for the Nonlinear Time-Fractional Generalized Kawahara Equation

In this study, we present an innovative approach involving a spectral collocation algorithm to effectively obtain numerical solutions of the nonlinear time-fractional generalized Kawahara equation (NTFGKE). We introduce a new set of orthogonal polynomials (OPs) referred to as “Eighth-kind Chebyshev...

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Hlavní autoři:	Waleed Mohamed Abd-Elhameed, Youssri Hassan Youssri, Amr Kamel Amin, Ahmed Gamal Atta
Médium:	Artigo
Jazyk:	Inglês
Vydáno:	MDPI AG 2023-08-01
Edice:	Fractal and Fractional
Témata:	time-fractional Kawahara equation generalized Gegenbauer polynomials Chebyshev polynomials collocation method connection formulas convergence analysis
On-line přístup:	https://www.mdpi.com/2504-3110/7/9/652
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