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A Novel Numerical Approach for Solving Delay Differential Equations Arising in Population Dynamics

dc.authorscopusid 58572860300
dc.authorscopusid 35110362400
dc.authorscopusid 22133512500
dc.authorwosid Cimen, Erkan/J-2065-2017
dc.contributor.author Obut, Tugba
dc.contributor.author Cimen, Erkan
dc.contributor.author Cakir, Musa
dc.date.accessioned 2025-05-10T17:20:24Z
dc.date.available 2025-05-10T17:20:24Z
dc.date.issued 2023
dc.department T.C. Van Yüzüncü Yıl Üniversitesi en_US
dc.department-temp [Obut, Tugba] Van Yuzuncu Yil Univ, Inst Sci, Dept Math, TR-65080 Van, Turkiye; [Cimen, Erkan] Van Yuzuncu Yil Univ, Fac Educ, Dept Math, TR-65080 Van, Turkiye; [Cakir, Musa] Van Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65080 Van, Turkiye en_US
dc.description.abstract In this paper, the initial-value problem for a class of first order delay differential equations, which emerges as a model for population dynamics, is considered. To solve this problem numerically, using the finite difference method including interpolating quadrature rules with the basis functions, we construct a fitted difference scheme on a uniform mesh. Although this scheme has the same rate of convergence, it has more efficiency and accuracy compared to the classical Euler scheme. The different models, Nicolson's blowfly and Mackey-Glass models, in population dynamics are solved by using the proposed method and the classical Euler method. The numerical results obtained from here show that the proposed method is reliable, efficient, and accurate. en_US
dc.description.woscitationindex Emerging Sources Citation Index
dc.identifier.doi 10.3934/mmc.2023020
dc.identifier.endpage 243 en_US
dc.identifier.issn 2767-8946
dc.identifier.issue 3 en_US
dc.identifier.scopus 2-s2.0-85170710747
dc.identifier.scopusquality Q4
dc.identifier.startpage 233 en_US
dc.identifier.uri https://doi.org/10.3934/mmc.2023020
dc.identifier.uri https://hdl.handle.net/20.500.14720/10091
dc.identifier.volume 3 en_US
dc.identifier.wos WOS:001101255800001
dc.identifier.wosquality N/A
dc.language.iso en en_US
dc.publisher Amer inst Mathematical Sciences-aims en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject Delay Di Ff Erential Equation en_US
dc.subject Finite Di Ff Erence Method en_US
dc.subject Convergence en_US
dc.title A Novel Numerical Approach for Solving Delay Differential Equations Arising in Population Dynamics en_US
dc.type Article en_US

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