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A Numerical Approach for Solving Nonlinear Fredholm Integro-Differential Equation With Boundary Layer

dc.authorscopusid 22133512500
dc.authorscopusid 57201117764
dc.authorscopusid 35110362400
dc.authorwosid Cimen, Erkan/J-2065-2017
dc.contributor.author Cakir, Musa
dc.contributor.author Ekinci, Yilmaz
dc.contributor.author Cimen, Erkan
dc.date.accessioned 2025-05-10T17:12:00Z
dc.date.available 2025-05-10T17:12:00Z
dc.date.issued 2022
dc.department T.C. Van Yüzüncü Yıl Üniversitesi en_US
dc.department-temp [Cakir, Musa] Van Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65080 Van, Turkey; [Ekinci, Yilmaz] Van Yuzuncu Yil Univ, Inst Nat & Appl Sci, Dept Math, TR-65080 Van, Turkey; [Cimen, Erkan] Van Yuzuncu Yil Univ, Fac Educ, Dept Math, TR-65080 Van, Turkey en_US
dc.description.abstract The study deals with an initial-value problem for a singularly perturbed nonlinear Fredholm integro-differential equation. Parameter explicit theoretical bounds on the continuous solution and its derivative are derived. To solve the approximate solution to this problem, a new difference scheme is constructed with the finite difference method by using the interpolated quadrature rules with the remaining terms in integral form. Parameter uniform error estimates for the approximate solution are established. It is proved that the method converges in the discrete maximum norm, uniformly with respect to the perturbation parameter. Numerical results are given to illustrate the parameter-uniform convergence of the numerical approximations. en_US
dc.description.woscitationindex Science Citation Index Expanded
dc.identifier.doi 10.1007/s40314-022-01933-z
dc.identifier.issn 2238-3603
dc.identifier.issn 1807-0302
dc.identifier.issue 6 en_US
dc.identifier.scopus 2-s2.0-85134699779
dc.identifier.scopusquality Q1
dc.identifier.uri https://doi.org/10.1007/s40314-022-01933-z
dc.identifier.uri https://hdl.handle.net/20.500.14720/7774
dc.identifier.volume 41 en_US
dc.identifier.wos WOS:000829156700001
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 en_US
dc.subject Initial-Value Problem en_US
dc.subject Fredholm Integro-Differential Equation en_US
dc.subject Uniform Convergence en_US
dc.subject Shishkin Mesh en_US
dc.title A Numerical Approach for Solving Nonlinear Fredholm Integro-Differential Equation With Boundary Layer en_US
dc.type Article en_US

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