Explicit and implicit schemes for fractional–order Hantavirus model
In this paper, the fractional–order form of a mouse population model is introduced. Some explicit and implicit schemes, which are Theta methods and nonstandard finite difference (NSFD) schemes, are implemented to give a numerical solution of nonlinear ordinary differential equation system named Hant...
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| Format: | Article |
| Language: | English |
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Ferdowsi University of Mashhad
2018-10-01
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| Series: | Iranian Journal of Numerical Analysis and Optimization |
| Subjects: | |
| Online Access: | https://ijnao.um.ac.ir/article_24717_48e298d9262fe62da08255b3d7475a37.pdf |
| _version_ | 1818416000187498496 |
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| author | Mevlüde Yakit Ongun Damla Arslan |
| author_facet | Mevlüde Yakit Ongun Damla Arslan |
| author_sort | Mevlüde Yakit Ongun |
| collection | DOAJ |
| description | In this paper, the fractional–order form of a mouse population model is introduced. Some explicit and implicit schemes, which are Theta methods and nonstandard finite difference (NSFD) schemes, are implemented to give a numerical solution of nonlinear ordinary differential equation system named Hantavirus epidemic model. These methods are compared and discussed that the method preserves the positivity properties of the integer order system.
The numerical solutions are illustrated by means of some graphs. Numerical results of explicit and implicit methods denote that these methods are easy and accurate when applied to fractional–order Hantavirus model. |
| first_indexed | 2024-12-14T11:43:55Z |
| format | Article |
| id | doaj.art-a0655dc057d44fa0abc2ae88b960d897 |
| institution | Directory Open Access Journal |
| issn | 2423-6977 2423-6969 |
| language | English |
| last_indexed | 2024-12-14T11:43:55Z |
| publishDate | 2018-10-01 |
| publisher | Ferdowsi University of Mashhad |
| record_format | Article |
| series | Iranian Journal of Numerical Analysis and Optimization |
| spelling | doaj.art-a0655dc057d44fa0abc2ae88b960d8972022-12-21T23:02:42ZengFerdowsi University of MashhadIranian Journal of Numerical Analysis and Optimization2423-69772423-69692018-10-0182759410.22067/ijnao.v8i2.4997324717Explicit and implicit schemes for fractional–order Hantavirus modelMevlüde Yakit Ongun0Damla Arslan1Suleyman Demirel University, Isparta, Turkey.Suleyman Demirel University, Isparta, TurkeyIn this paper, the fractional–order form of a mouse population model is introduced. Some explicit and implicit schemes, which are Theta methods and nonstandard finite difference (NSFD) schemes, are implemented to give a numerical solution of nonlinear ordinary differential equation system named Hantavirus epidemic model. These methods are compared and discussed that the method preserves the positivity properties of the integer order system. The numerical solutions are illustrated by means of some graphs. Numerical results of explicit and implicit methods denote that these methods are easy and accurate when applied to fractional–order Hantavirus model.https://ijnao.um.ac.ir/article_24717_48e298d9262fe62da08255b3d7475a37.pdfexplicit and implicit methodstheta methodnonstandard finite difference schemefractional–order nonlinear differential equation systemsmouse population model |
| spellingShingle | Mevlüde Yakit Ongun Damla Arslan Explicit and implicit schemes for fractional–order Hantavirus model Iranian Journal of Numerical Analysis and Optimization explicit and implicit methods theta method nonstandard finite difference scheme fractional–order nonlinear differential equation systems mouse population model |
| title | Explicit and implicit schemes for fractional–order Hantavirus model |
| title_full | Explicit and implicit schemes for fractional–order Hantavirus model |
| title_fullStr | Explicit and implicit schemes for fractional–order Hantavirus model |
| title_full_unstemmed | Explicit and implicit schemes for fractional–order Hantavirus model |
| title_short | Explicit and implicit schemes for fractional–order Hantavirus model |
| title_sort | explicit and implicit schemes for fractional order hantavirus model |
| topic | explicit and implicit methods theta method nonstandard finite difference scheme fractional–order nonlinear differential equation systems mouse population model |
| url | https://ijnao.um.ac.ir/article_24717_48e298d9262fe62da08255b3d7475a37.pdf |
| work_keys_str_mv | AT mevludeyakitongun explicitandimplicitschemesforfractionalorderhantavirusmodel AT damlaarslan explicitandimplicitschemesforfractionalorderhantavirusmodel |