A Hermite Polynomial Approach for Solving the SIR Model of Epidemics

Basit Öğe Kaydı
dc.authoridhttps://orcid.org/0000-0002-8372-2441en_US
dc.authoridhttps://orcid.org/0000-0002-2994-7201en_US
dc.contributor.authorSeçer, Aydın
dc.contributor.authorÖzdemir, Neslihan
dc.contributor.authorBayram, Mustafa
dc.date.accessioned2024-03-18T00:08:53Z
dc.date.available2024-03-18T00:08:53Z
dc.date.issued2018en_US
dc.departmentMühendislik ve Mimarlık Fakültesien_US
dc.description.abstractIn this paper, the problem of the spread of a non-fatal disease in a population is solved by using the Hermite collocation method. Mathematical modeling of the problem corresponds to a three-dimensional system of nonlinear ODEs. The presented scheme reduces the problem to a nonlinear algebraic equation system by expanding the approximate solutions by using Hermite polynomials with unknown coefficients. These coefficients of the Hermite polynomials are computed by using the matrix operations of derivatives together with the collocation method. Maple software is used to carry out the computations. In addition, comparison of our method with the Homotopy perturbation method (HPM) and Laplece-Adomian decomposition method (LADM) proves accuracy of solution.en_US
dc.identifier.doi10.3390/math6120305en_US
dc.identifier.endpage11en_US
dc.identifier.issn2227-7390
dc.identifier.issue12en_US
dc.identifier.scopus2-s2.0-85059462200en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage1en_US
dc.identifier.urihttps://hdl.handle.net/11363/7213
dc.identifier.urihttps://doi.org/
dc.identifier.volume6en_US
dc.identifier.wosWOS:000454519300033en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorBayram, Mustafa
dc.language.isoenen_US
dc.publisherMDPIST ALBAN-ANLAGE 66, CH-4052 BASEL, SWITZERLANDen_US
dc.relation.ispartofMATHEMATICSen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectSIR modelen_US
dc.subjectHermite collocation methoden_US
dc.subjectapproximate solutionen_US
dc.subjectHermite polynomials and seriesen_US
dc.subjectcollocation pointsen_US
dc.titleA Hermite Polynomial Approach for Solving the SIR Model of Epidemicsen_US
dc.typeArticleen_US

Dosyalar

Orijinal paket
Listeleniyor 1 - 1 / 1
Küçük Resim
İsim:
mathematics-06-00305.pdf
Boyut:
789.35 KB
Biçim:
Adobe Portable Document Format
Açıklama:
Makale / Article
İndir
Lisans paketi
Listeleniyor 1 - 1 / 1
[ N/A ]
İsim:
license.txt
Boyut:
1.44 KB
Biçim:
Item-specific license agreed upon to submission
Açıklama:
İndir

Koleksiyon

Web of Science ve Scopus Atıf Dizinlerindeki Yayınlar
Scopus İndeksli Yayınlar Koleksiyonu
WoS İndeksli Yayınlar Koleksiyonu