Erzincan Binali Yıldırım ÜniversitesiErzincan Binali Yıldırım ÜniversitesiAçık Erişim Arşivi · RDL Open

An efficient numerical method for a singularly perturbed Fredholm integro-differential equation with integral boundary condition

ArticleAçık Erişim

Özet

In this paper, a linear singularly perturbed Fredholm integro-differential initial value problem with integral condition is being considered. On a Shishkin-type mesh, a fitted finite difference approach is applied using a composite trapezoidal rule in both; in the integral part of equation and in the initial condition. The proposed technique acquires a uniform second-order convergence in respect to perturbation parameter. Further provided the numerical results to support the theoretical estimates. © 2022, The Author(s) under exclusive licence to Korean Society for Informatics and Computational Applied Mathematics.

Anahtar Kelimeler

Finite difference schemeFredholm integro-differential equationIntegral boundary conditionShishkin meshSingular perturbationUniform convergenceBoundary conditionsConvergence of numerical methodsFinite difference methodIntegrodifferential equationsMesh generationEfficient numerical methodFredholmFredholm integro-differential equationsInitial-value problemIntegral boundary conditionsShishkin meshesSingular perturbationsSingularly perturbedInitial value problems
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/12272Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1007/s12190-022-01757-4Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorDurmaz, Muhammet Enes
dc.contributor.authorAmirali, Ilhame
dc.contributor.authorAmiraliyev, Gabil M.
dc.date.accessioned2026-10-18T20:27:11.386129509Z
dc.date.available2026-10-18T20:27:11.386129509Z
dc.date.issued2023
dc.description.abstractIn this paper, a linear singularly perturbed Fredholm integro-differential initial value problem with integral condition is being considered. On a Shishkin-type mesh, a fitted finite difference approach is applied using a composite trapezoidal rule in both; in the integral part of equation and in the initial condition. The proposed technique acquires a uniform second-order convergence in respect to perturbation parameter. Further provided the numerical results to support the theoretical estimates. © 2022, The Author(s) under exclusive licence to Korean Society for Informatics and Computational Applied Mathematics.
dc.identifier.doi10.1007/s12190-022-01757-4
dc.identifier.eissn1865-2085
dc.identifier.endpage528
dc.identifier.issn1598-5865
dc.identifier.issue1
dc.identifier.pmcidPMC9178336
dc.identifier.pmid35698573
dc.identifier.scopus2-s2.0-85131585126
dc.identifier.startpage505
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/12272
dc.identifier.volume69
dc.identifier.wosWOS:000808410800001
dc.language.isoen
dc.publisherInstitute for Ionics
dc.relation.ispartofJournal of Applied Mathematics and Computing
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectFinite difference scheme
dc.subjectFredholm integro-differential equation
dc.subjectIntegral boundary condition
dc.subjectShishkin mesh
dc.subjectSingular perturbation
dc.subjectUniform convergence
dc.subjectBoundary conditions
dc.subjectConvergence of numerical methods
dc.subjectFinite difference method
dc.subjectIntegrodifferential equations
dc.subjectMesh generation
dc.subjectEfficient numerical method
dc.subjectFredholm
dc.subjectFredholm integro-differential equations
dc.subjectInitial-value problem
dc.subjectIntegral boundary conditions
dc.subjectShishkin meshes
dc.subjectSingular perturbations
dc.subjectSingularly perturbed
dc.subjectInitial value problems
dc.titleAn efficient numerical method for a singularly perturbed Fredholm integro-differential equation with integral boundary condition
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus18
rdl.citation.wos19
rdl.departmentDepartment of Mathematics, Faculty of Arts and Sciences, Erzincan Binali Yıldırım University, Erzincan, 24100 Turkey.
rdl.oa.statusgreen
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.source.indexPUBMED
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)