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A robust numerical two-level second-order explicit approach to predicting the spread of Covid-2019 pandemic with undetected infectious cases

This paper develops a numerical two-level explicit approach for solving a mathematical model for the spread of Covid-19 pandemic with that includes the undetected infectious cases. The stability and convergence rate of the new numerical method are deeply analyzed in the [Formula: see text]-norm. The...

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Detalles Bibliográficos
Autor principal: Ngondiep, Eric
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier B.V. 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8492385/
https://www.ncbi.nlm.nih.gov/pubmed/34629699
http://dx.doi.org/10.1016/j.cam.2021.113852
Descripción
Sumario:This paper develops a numerical two-level explicit approach for solving a mathematical model for the spread of Covid-19 pandemic with that includes the undetected infectious cases. The stability and convergence rate of the new numerical method are deeply analyzed in the [Formula: see text]-norm. The proposed technique is less time consuming than a broad range of related numerical schemes. Furthermore, the method is stable, and at least second-order accurate and it can serve as a robust tool for the integration of general ODEs systems of initial-value problems. Some numerical experiments are provided which include the pandemic in Cameroon, and discussed.