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 |