Numerical treatment of the fractional Rayleigh-Stokes problem using some orthogonal combinations of Chebyshev polynomials

Numerical treatment of the fractional Rayleigh-Stokes problem using some orthogonal combinations of Chebyshev polynomials

This work aims to provide a new Galerkin algorithm for solving the fractional Rayleigh-Stokes equation (FRSE). We select the basis functions for the Galerkin technique to be appropriate orthogonal combinations of the second kind of Chebyshev polynomials (CPs). By implementing the Galerkin approach,...

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Bibliographic Details
Main Authors: Waleed Mohamed Abd-Elhameed, Ahad M. Al-Sady, Omar Mazen Alqubori, Ahmed Gamal Atta
Format: Article
Language:English
Published: AIMS Press 2024-08-01
Series:AIMS Mathematics
Subjects:
chebyshev polynomials
recurrence relation
spectral methods
fractional differential equations
convergence analysis
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20241243?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.20241243?viewType=HTML

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