A novel hybrid method with convergence analysis for approximation of HTLV-I dynamics model

Autor:	Mahboubeh Molavi-Arabshahi, Jalil Rashidinia, Mahnaz Yousefi
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	Legendre polynomials HTLV-I Spectral collocation method Operational matrix The nonlinear system Medicine Science
Zdroj:	Scientific Reports, Vol 14, Iss 1, Pp 1-14 (2024)
Druh dokumentu:	article
ISSN:	2045-2322
DOI:	10.1038/s41598-024-76110-9
Popis:	Abstract This paper presents a novel numerical approach for approximating the solution of the model describing the infection of $$CD4^+T$$ C D 4 + T -cells by the human T-cell lymphotropic virus I (HTLV-I).The proposed method utilizes the operational matrix along with spectral method to convert the fractional model into a system of nonlinear algebraic equations. The Levenberg-Marquardt algorithm efficiently solves these equations. The study includes theoretical convergence analysis and error bounds to establish the validity of the proposed method. Through several test problems, we demonstrate the effectiveness and accuracy of the approach. We compare its performance and reliability to other existing methods in the literature. The results indicate that the proposed method is a reliable and efficient approach for solving the model.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/74653b2a542945ada23bc8467ab9550c Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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