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Convergence Analysis of Finite Difference Method for Singularly Perturbed Nonlocal Differential-Difference Problem

dc.authorid Cimen, Erkan/0000-0002-7258-192X
dc.authorscopusid 35110362400
dc.authorscopusid 22133512500
dc.authorwosid Cimen, Erkan/J-2065-2017
dc.contributor.author Cimen, Erkan
dc.contributor.author Cakir, Musa
dc.date.accessioned 2025-05-10T17:11:00Z
dc.date.available 2025-05-10T17:11:00Z
dc.date.issued 2018
dc.department T.C. Van Yüzüncü Yıl Üniversitesi en_US
dc.department-temp [Cimen, Erkan] Van Yuzuncu Yil Univ, Fac Educ, Dept Math, TR-65080 Van, Turkey; [Cakir, Musa] Van Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65080 Van, Turkey en_US
dc.description Cimen, Erkan/0000-0002-7258-192X en_US
dc.description.abstract This study is concerned with a singularly perturbed three-point boundary-value problem with delay. Firstly, bounds on the solution and its derivative of the solution to be used later in the paper are obtained. To solve it numerically, we use an exponentially fitted difference scheme on an equidistant mesh which is established by the method of integral identities with the use of exponential basis functions and interpolating quadrature rules with weight and remainder term in integral form. Then, the stability and convergence analysis of difference scheme is given and it is uniformly convergent in perturbation parameter. Furthermore, numerical results which show the effectiveness of the method are presented. en_US
dc.description.woscitationindex Science Citation Index Expanded
dc.identifier.doi 10.18514/MMN.2018.2302
dc.identifier.endpage 812 en_US
dc.identifier.issn 1787-2405
dc.identifier.issn 1787-2413
dc.identifier.issue 2 en_US
dc.identifier.scopus 2-s2.0-85110624397
dc.identifier.scopusquality Q3
dc.identifier.startpage 795 en_US
dc.identifier.uri https://doi.org/10.18514/MMN.2018.2302
dc.identifier.uri https://hdl.handle.net/20.500.14720/7606
dc.identifier.volume 19 en_US
dc.identifier.wos WOS:000458493700008
dc.identifier.wosquality Q2
dc.language.iso en en_US
dc.publisher Univ Miskolc inst Math 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 Singular Perturbation en_US
dc.subject Nonlocal Condition en_US
dc.subject Finite Difference Method en_US
dc.subject Initial Layer en_US
dc.subject Uniform Convergence en_US
dc.title Convergence Analysis of Finite Difference Method for Singularly Perturbed Nonlocal Differential-Difference Problem en_US
dc.type Article en_US

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