Petrov-Galerkin Lucas polynomials approach for solving the time-fractional diffusion equation
Vol 3, Issue 1, 2025
VIEWS - 77 (Abstract)
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Abstract
In this research paper, a spectral method is used for numerically solving the time-fractional diffusion equation as the time fractional diffusion equations are a powerful tool for simulating physical systems. We employ the Lucas polynomials (LPs) with Petrov-Galerkin for the linear combination basis. The main idea of the proposed technique is to convert the governed boundary-value problem into a system of linear algebraic equations by applying the Petrov-Galerkin method. Many procedures can solve the resulting linear system. The method’s accuracy is shown through several examples.
Keywords
References
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Copyright (c) 2025 Esraa Magdy Abdelghany, Waleed Mohamed Abd-Elhameed, Galal Mahrous Moatimid, Youssri Hassan Youssri, Ahmed Gamal Atta
License URL: https://creativecommons.org/licenses/by/4.0/
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Prof. Youssri Hassan Youssri
Cairo University, Egypt
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