An accurate tau-based spectral algorithm for the time fractional bioheat transfer model

Abstract This work introduces a numerical algorithm based on the spectral Tau method for solving the time-fractional bioheat transfer equation, which describes how heat moves through biological tissues over time. A specific set of Horadam polynomials is employed as trial functions. Some explicit for...

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Ngā kaituhi matua:	W. M. Abd-Elhameed, M. A. Abdelkawy, O. M. Alqubori, A. G. Atta
Hōputu:	Artigo
Reo:	Inglês
I whakaputaina:	SpringerOpen 2025-08-01
Rangatū:	Boundary Value Problems
Ngā marau:	Horadam polynomials Fractional differential equations Equations Tau method Convergence analysis
Urunga tuihono:	https://doi.org/10.1186/s13661-025-02118-3
Ngā Tūtohu:	Tāpirihia he Tūtohu Kāore He Tūtohu, Me noho koe te mea tuatahi ki te tūtohu i tēnei pūkete!

An accurate tau-based spectral algorithm for the time fractional bioheat transfer model

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