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

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: Článek
Jazyk:English
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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https://www.mdpi.com/2504-3110/7/9/652

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