An explicit unconditionally stable scheme: application to diffusive Covid-19 epidemic model

An explicit unconditionally stable scheme is proposed for solving time-dependent partial differential equations. The application of the proposed scheme is given to solve the COVID-19 epidemic model. This scheme is first-order accurate in time and second-order accurate in space and provides the condi...

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Autores principales: Nawaz, Yasir, Arif, Muhammad Shoaib, Abodayeh, Kamaleldin, Shatanawi, Wasfi
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2021
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8329645/
https://www.ncbi.nlm.nih.gov/pubmed/34367268
http://dx.doi.org/10.1186/s13662-021-03513-7
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author Nawaz, Yasir
Arif, Muhammad Shoaib
Abodayeh, Kamaleldin
Shatanawi, Wasfi
author_facet Nawaz, Yasir
Arif, Muhammad Shoaib
Abodayeh, Kamaleldin
Shatanawi, Wasfi
author_sort Nawaz, Yasir
collection PubMed
description An explicit unconditionally stable scheme is proposed for solving time-dependent partial differential equations. The application of the proposed scheme is given to solve the COVID-19 epidemic model. This scheme is first-order accurate in time and second-order accurate in space and provides the conditions to get a positive solution for the considered type of epidemic model. Furthermore, the scheme’s stability for the general type of parabolic equation with source term is proved by employing von Neumann stability analysis. Furthermore, the consistency of the scheme is verified for the category of susceptible individuals. In addition to this, the convergence of the proposed scheme is discussed for the considered mathematical model.
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spelling pubmed-83296452021-08-03 An explicit unconditionally stable scheme: application to diffusive Covid-19 epidemic model Nawaz, Yasir Arif, Muhammad Shoaib Abodayeh, Kamaleldin Shatanawi, Wasfi Adv Differ Equ Research An explicit unconditionally stable scheme is proposed for solving time-dependent partial differential equations. The application of the proposed scheme is given to solve the COVID-19 epidemic model. This scheme is first-order accurate in time and second-order accurate in space and provides the conditions to get a positive solution for the considered type of epidemic model. Furthermore, the scheme’s stability for the general type of parabolic equation with source term is proved by employing von Neumann stability analysis. Furthermore, the consistency of the scheme is verified for the category of susceptible individuals. In addition to this, the convergence of the proposed scheme is discussed for the considered mathematical model. Springer International Publishing 2021-08-03 2021 /pmc/articles/PMC8329645/ /pubmed/34367268 http://dx.doi.org/10.1186/s13662-021-03513-7 Text en © The Author(s) 2021 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
Nawaz, Yasir
Arif, Muhammad Shoaib
Abodayeh, Kamaleldin
Shatanawi, Wasfi
An explicit unconditionally stable scheme: application to diffusive Covid-19 epidemic model
title An explicit unconditionally stable scheme: application to diffusive Covid-19 epidemic model
title_full An explicit unconditionally stable scheme: application to diffusive Covid-19 epidemic model
title_fullStr An explicit unconditionally stable scheme: application to diffusive Covid-19 epidemic model
title_full_unstemmed An explicit unconditionally stable scheme: application to diffusive Covid-19 epidemic model
title_short An explicit unconditionally stable scheme: application to diffusive Covid-19 epidemic model
title_sort explicit unconditionally stable scheme: application to diffusive covid-19 epidemic model
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8329645/
https://www.ncbi.nlm.nih.gov/pubmed/34367268
http://dx.doi.org/10.1186/s13662-021-03513-7
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