Generalized third-kind Chebyshev tau approach for treating the time fractional cable problem

Generalized third-kind Chebyshev tau approach for treating the time fractional cable problem

This work introduces a computational method for solving the time-fractional cable equation (TFCE). We utilize the tau method for the numerical treatment of the TFCE, using generalized Chebyshev polynomials of the third kind (GCPs3) as basis functions. The integer and fractional derivatives of the GC...

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Bibliographic Details
Main Authors: Waleed Mohamed Abd-Elhameed, Omar Mazen Alqubori, Abdulrahman Khalid Al-Harbi, Mohammed H. Alharbi, Ahmed Gamal Atta
Format: Article
Language:English
Published: AIMS Press 2024-11-01
Series:Electronic Research Archive
Subjects:
chebyshev polynomials
jacobi polynomials
spectral methods
matrix system
convergence analysis
Online Access:https://www.aimspress.com/article/doi/10.3934/era.2024288
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