An Efficient Method for Solving Second-Order Delay Differential Equation

dc.contributor.author Cimen, Erkan
dc.contributor.author Uncu, Sevket
dc.date.accessioned 2025-05-10T17:10:47Z
dc.date.available 2025-05-10T17:10:47Z
dc.date.issued 2021
dc.description.abstract In this paper, the initial-value problem for a linear second order delay differential equation is considered. To solve this problem numerically, an appropriate difference scheme is constructed by using the method of integral identities which contains basis functions and interpolating quadrature rules with weight and remainder term in integral form. Besides, the method is proved to be first-order convergent in discrete maximum norm. The numerical illustration provided support the theoretical results. Finally, the proposed method is compared with the im en_US
dc.identifier.doi 10.18514/MMN.2021.3325
dc.identifier.issn 1787-2405
dc.identifier.issn 1787-2413
dc.identifier.scopus 2-s2.0-85123262740
dc.identifier.uri https://doi.org/10.18514/MMN.2021.3325
dc.identifier.uri https://hdl.handle.net/20.500.14720/7516
dc.language.iso en en_US
dc.publisher Univ Miskolc inst Math en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject Plicit Euler Method en_US
dc.subject Delay Differential Equation en_US
dc.subject Initial Value Problem en_US
dc.subject Finite Difference Method en_US
dc.subject Error Es en_US
dc.subject Timate en_US
dc.subject Convergence en_US
dc.title An Efficient Method for Solving Second-Order Delay Differential Equation en_US
dc.type Article en_US
dspace.entity.type Publication
gdc.author.scopusid 35110362400
gdc.author.scopusid 57421535500
gdc.author.wosid Cimen, Erkan/J-2065-2017
gdc.coar.access open access
gdc.coar.type text::journal::journal article
gdc.description.department T.C. Van Yüzüncü Yıl Üniversitesi en_US
gdc.description.departmenttemp [Cimen, Erkan] Van Yuzuncu Yil Univ, Fac Educ, Dept Math, TR-65080 Van, Turkey; [Uncu, Sevket] Van Yuzuncu Yil Univ, Inst Pure & Appl Sci, Dept Math, TR-65080 Van, Turkey en_US
gdc.description.endpage 638 en_US
gdc.description.issue 2 en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.scopusquality Q3
gdc.description.startpage 625 en_US
gdc.description.volume 22 en_US
gdc.description.woscitationindex Science Citation Index Expanded
gdc.description.wosquality Q2
gdc.identifier.wos WOS:000741090800010
gdc.index.type WoS
gdc.index.type Scopus

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