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 |