Crank-Nicholson difference scheme for the system of nonlinear parabolic equations observing epidemic models with general nonlinear incidence rate

In this work, we study second order Crank-Nicholson difference scheme (DS) for the approximate solution of problem (1). The existence and uniqueness of the theorem on a bounded solution of Crank-Nicholson DS uniformly with respect to time step τ is proved. In practice, theoretical results are presen...

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Autores principales:	Allaberen Ashyralyev, Evren Hincal, Bilgen Kaymakamzade
Formato:	article
Lenguaje:	EN
Publicado:	AIMS Press 2021
Materias:	system of nonlinear parabolic equations epidemic models bounded solution realization in computer Biotechnology TP248.13-248.65 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/64c1a823c2c14bfd9e9accce90e4c09d
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spelling	oai:doaj.org-article:64c1a823c2c14bfd9e9accce90e4c09d2021-11-29T02:45:16ZCrank-Nicholson difference scheme for the system of nonlinear parabolic equations observing epidemic models with general nonlinear incidence rate10.3934/mbe.20214381551-0018https://doaj.org/article/64c1a823c2c14bfd9e9accce90e4c09d2021-10-01T00:00:00Zhttps://www.aimspress.com/article/doi/10.3934/mbe.2021438?viewType=HTMLhttps://doaj.org/toc/1551-0018In this work, we study second order Crank-Nicholson difference scheme (DS) for the approximate solution of problem (1). The existence and uniqueness of the theorem on a bounded solution of Crank-Nicholson DS uniformly with respect to time step τ is proved. In practice, theoretical results are presented on four systems of nonlinear parabolic equations to explain how it works on one and multidimensional problems. Numerical results are provided.Allaberen AshyralyevEvren Hincal Bilgen KaymakamzadeAIMS Pressarticlesystem of nonlinear parabolic equationsepidemic modelsbounded solutionrealization in computerBiotechnologyTP248.13-248.65MathematicsQA1-939ENMathematical Biosciences and Engineering, Vol 18, Iss 6, Pp 8883-8904 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	system of nonlinear parabolic equations epidemic models bounded solution realization in computer Biotechnology TP248.13-248.65 Mathematics QA1-939
spellingShingle	system of nonlinear parabolic equations epidemic models bounded solution realization in computer Biotechnology TP248.13-248.65 Mathematics QA1-939 Allaberen Ashyralyev Evren Hincal Bilgen Kaymakamzade Crank-Nicholson difference scheme for the system of nonlinear parabolic equations observing epidemic models with general nonlinear incidence rate
description	In this work, we study second order Crank-Nicholson difference scheme (DS) for the approximate solution of problem (1). The existence and uniqueness of the theorem on a bounded solution of Crank-Nicholson DS uniformly with respect to time step τ is proved. In practice, theoretical results are presented on four systems of nonlinear parabolic equations to explain how it works on one and multidimensional problems. Numerical results are provided.
format	article
author	Allaberen Ashyralyev Evren Hincal Bilgen Kaymakamzade
author_facet	Allaberen Ashyralyev Evren Hincal Bilgen Kaymakamzade
author_sort	Allaberen Ashyralyev
title	Crank-Nicholson difference scheme for the system of nonlinear parabolic equations observing epidemic models with general nonlinear incidence rate
title_short	Crank-Nicholson difference scheme for the system of nonlinear parabolic equations observing epidemic models with general nonlinear incidence rate
title_full	Crank-Nicholson difference scheme for the system of nonlinear parabolic equations observing epidemic models with general nonlinear incidence rate
title_fullStr	Crank-Nicholson difference scheme for the system of nonlinear parabolic equations observing epidemic models with general nonlinear incidence rate
title_full_unstemmed	Crank-Nicholson difference scheme for the system of nonlinear parabolic equations observing epidemic models with general nonlinear incidence rate
title_sort	crank-nicholson difference scheme for the system of nonlinear parabolic equations observing epidemic models with general nonlinear incidence rate
publisher	AIMS Press
publishDate	2021
url	https://doaj.org/article/64c1a823c2c14bfd9e9accce90e4c09d
work_keys_str_mv	AT allaberenashyralyev cranknicholsondifferenceschemeforthesystemofnonlinearparabolicequationsobservingepidemicmodelswithgeneralnonlinearincidencerate AT evrenhincal cranknicholsondifferenceschemeforthesystemofnonlinearparabolicequationsobservingepidemicmodelswithgeneralnonlinearincidencerate AT bilgenkaymakamzade cranknicholsondifferenceschemeforthesystemofnonlinearparabolicequationsobservingepidemicmodelswithgeneralnonlinearincidencerate
_version_	1718407649320501248

Crank-Nicholson difference scheme for the system of nonlinear parabolic equations observing epidemic models with general nonlinear incidence rate

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