A numerical solution by alternative Legendre polynomials on a model for novel coronavirus (COVID-19)

Coronavirus disease (COVID-19) is an infectious disease caused by a newly discovered coronavirus. This paper provides a numerical solution for the mathematical model of the novel coronavirus by the application of alternative Legendre polynomials to find the transmissibility of COVID-19. The mathemat...

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Detalles Bibliográficos
Autores principales: Hashemizadeh, Elham, Ebadi, Mohammad Ali
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2020
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7517755/
https://www.ncbi.nlm.nih.gov/pubmed/33014025
http://dx.doi.org/10.1186/s13662-020-02984-4
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author Hashemizadeh, Elham
Ebadi, Mohammad Ali
author_facet Hashemizadeh, Elham
Ebadi, Mohammad Ali
author_sort Hashemizadeh, Elham
collection PubMed
description Coronavirus disease (COVID-19) is an infectious disease caused by a newly discovered coronavirus. This paper provides a numerical solution for the mathematical model of the novel coronavirus by the application of alternative Legendre polynomials to find the transmissibility of COVID-19. The mathematical model of the present problem is a system of differential equations. The goal is to convert this system to an algebraic system by use of the useful property of alternative Legendre polynomials and collocation method that can be solved easily. We compare the results of this method with those of the Runge–Kutta method to show the efficiency of the proposed method.
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spelling pubmed-75177552020-09-28 A numerical solution by alternative Legendre polynomials on a model for novel coronavirus (COVID-19) Hashemizadeh, Elham Ebadi, Mohammad Ali Adv Differ Equ Research Coronavirus disease (COVID-19) is an infectious disease caused by a newly discovered coronavirus. This paper provides a numerical solution for the mathematical model of the novel coronavirus by the application of alternative Legendre polynomials to find the transmissibility of COVID-19. The mathematical model of the present problem is a system of differential equations. The goal is to convert this system to an algebraic system by use of the useful property of alternative Legendre polynomials and collocation method that can be solved easily. We compare the results of this method with those of the Runge–Kutta method to show the efficiency of the proposed method. Springer International Publishing 2020-09-25 2020 /pmc/articles/PMC7517755/ /pubmed/33014025 http://dx.doi.org/10.1186/s13662-020-02984-4 Text en © The Author(s) 2020 https://creativecommons.org/licenses/by/4.0/Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Research
Hashemizadeh, Elham
Ebadi, Mohammad Ali
A numerical solution by alternative Legendre polynomials on a model for novel coronavirus (COVID-19)
title A numerical solution by alternative Legendre polynomials on a model for novel coronavirus (COVID-19)
title_full A numerical solution by alternative Legendre polynomials on a model for novel coronavirus (COVID-19)
title_fullStr A numerical solution by alternative Legendre polynomials on a model for novel coronavirus (COVID-19)
title_full_unstemmed A numerical solution by alternative Legendre polynomials on a model for novel coronavirus (COVID-19)
title_short A numerical solution by alternative Legendre polynomials on a model for novel coronavirus (COVID-19)
title_sort numerical solution by alternative legendre polynomials on a model for novel coronavirus (covid-19)
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7517755/
https://www.ncbi.nlm.nih.gov/pubmed/33014025
http://dx.doi.org/10.1186/s13662-020-02984-4
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