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A New Numerical Approach for a Singularly Perturbed Problem With Two Integral Boundary Conditions

dc.authorscopusid 22133512500
dc.authorscopusid 57210368891
dc.contributor.author Cakir, Musa
dc.contributor.author Arslan, Derya
dc.date.accessioned 2025-05-10T17:13:24Z
dc.date.available 2025-05-10T17:13:24Z
dc.date.issued 2021
dc.department T.C. Van Yüzüncü Yıl Üniversitesi en_US
dc.department-temp [Cakir, Musa] Yuzuncu Yil Univ, Dept Math, TR-65080 Van, Turkey; [Arslan, Derya] Bitlis Eren Univ, Dept Math, TR-13200 Bitlis, Turkey en_US
dc.description.abstract In this study, finite difference method on a Shishkin mesh is applied to solve the singularly perturbed problem with integral boundary conditions. Some properties of the exact solution are obtained. Finite difference scheme on this mesh is constructed. The stability and convergence analysis of the method are shown as first-order convergent at the discrete maximum norm, regardless of the perturbation parameter e. Numerical results are shown by solving an example on the table and figure. en_US
dc.description.woscitationindex Science Citation Index Expanded
dc.identifier.doi 10.1007/s40314-021-01577-5
dc.identifier.issn 2238-3603
dc.identifier.issn 1807-0302
dc.identifier.issue 6 en_US
dc.identifier.scopus 2-s2.0-85111331125
dc.identifier.scopusquality Q1
dc.identifier.uri https://doi.org/10.1007/s40314-021-01577-5
dc.identifier.uri https://hdl.handle.net/20.500.14720/8183
dc.identifier.volume 40 en_US
dc.identifier.wos WOS:000691516100001
dc.identifier.wosquality Q1
dc.language.iso en en_US
dc.publisher Springer Heidelberg en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.subject Singular Perturbation Equation en_US
dc.subject Finite Difference Scheme en_US
dc.subject Piecewise Uniform Mesh en_US
dc.subject Uniform Convergence en_US
dc.subject Integral Conditions en_US
dc.title A New Numerical Approach for a Singularly Perturbed Problem With Two Integral Boundary Conditions en_US
dc.type Article en_US

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