Legendre-Galerkin spectral algorithm for fractional-order BVPs: Application to the Bagley-Torvik equation
Vol 2, Issue 1, 2024
Issue release: 30 June 2024
VIEWS - 695 (Abstract)
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Abstract
Herein, we provide an efficient spectral Galerkin algorithm, according to a special type of shifted Legendre basis for finding a semi-analytic solution to the Liouville-Caputo fractional boundary value problem. The algorithm’s main goal is to transform the fractional differential problem into a linear system with efficiently invertible, well-structured matrices. The convergence rates of the algorithm are carefully obtained as well as the error bound.
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References
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Copyright (c) 2024 S.M. Sayed, A.S. Mohamed, E.M. Abo-Eldahab, Y.H. Youssri
License URL: https://creativecommons.org/licenses/by/4.0/
Editor-in-Chief
Prof. Youssri Hassan Youssri
Cairo University, Egypt
Processing Speed (2023)
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- ＜7 days: submission to screening review decision
- 53 days: received to accepted
- 68 days: received to online
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