A New Robust Iterative Scheme Applied in Solving a Fractional Diffusion Model for Oxygen Delivery via a Capillary of Tissues

Autor:	Godwin Amechi Okeke, Akanimo Victor Udo, Nadiyah Hussain Alharthi, Rubayyi T. Alqahtani
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	UO iterative scheme boundary value problem strong convergence T -stability almost T -stability oxygen diffusion model Mathematics QA1-939
Zdroj:	Mathematics, Vol 12, Iss 9, p 1339 (2024)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math12091339
Popis:	In this paper, we constructed a new and robust fixed point iterative scheme called the UO iterative scheme for the approximation of a contraction mapping. The scheme converges strongly to the fixed point of a contraction mapping. A rate of convergence result is shown with an example, and our scheme, when compared, converges faster than some existing iterative schemes in the literature. Furthermore, the stability and data dependence results are shown. Our new scheme is applied in the approximation of the solution to the oxygen diffusion model. Finally, our results are applied in the approximation of the solution to the boundary value problems using Green’s functions with an example.
Databáze:	Directory of Open Access Journals
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