Spectral tau technique via Lucas polynomials for the time-fractional diffusion equation

Spectral tau technique via Lucas polynomials for the time-fractional diffusion equation

Here, we provide a new method to solve the time-fractional diffusion equation (TFDE) following the spectral tau approach. Our proposed numerical solution is expressed in terms of a double Lucas expansion. The discretization of the technique is based on several formulas about Lucas polynomials, such...

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Bibliographic Details
Main Authors: Waleed Mohamed Abd-Elhameed, Abdullah F. Abu Sunayh, Mohammed H. Alharbi, Ahmed Gamal Atta
Format: Article
Language:English
Published: AIMS Press 2024-12-01
Series:AIMS Mathematics
Subjects:
time-fractional diffusion equation
lucas polynomials
spectral methods
error bound
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20241646
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https://www.aimspress.com/article/doi/10.3934/math.20241646

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