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A second-order numerical approximation of a singularly perturbed nonlinear Fredholm integro-differential equation

ArticleAçık Erişim

Özet

We consider a singularly perturbed problem for a nonlinear first-order Fredholm integro-differential equation. Our aim is to build and analyze a numerical approach with uniform convergence in the ε-parameter. The numerical solution of problem is discretized utilizing interpolation quadrature formulas for the differential part and the composite rectangular rule for the integral part. Error estimations for the approximate solution are established. In support of the idea, numerical examples are provided. © 2023 IMACS

Anahtar Kelimeler

Finite difference methodsIntegro-differential equationRichardson extrapolationSingular perturbationUniform convergenceConvergence of numerical methodsFredholm integral equationsIntegrodifferential equationsNonlinear equationsFinite-difference methodsFirst orderFredholm integro-differential equationsNumerical approximationsSecond ordersSingular perturbationsSingularly perturbedSingularly perturbed problemFinite difference method
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/12333Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1016/j.apnum.2023.05.008Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorDurmaz, Muhammet Enes
dc.contributor.authorAmirali, Ilhame
dc.contributor.authorMohapatra, Jugal
dc.contributor.authorAmiraliyev, Gabil M.
dc.date.accessioned2026-10-18T20:27:14.937683022Z
dc.date.available2026-10-18T20:27:14.937683022Z
dc.date.issued2023
dc.description.abstractWe consider a singularly perturbed problem for a nonlinear first-order Fredholm integro-differential equation. Our aim is to build and analyze a numerical approach with uniform convergence in the ε-parameter. The numerical solution of problem is discretized utilizing interpolation quadrature formulas for the differential part and the composite rectangular rule for the integral part. Error estimations for the approximate solution are established. In support of the idea, numerical examples are provided. © 2023 IMACS
dc.identifier.doi10.1016/j.apnum.2023.05.008
dc.identifier.eissn1873-5460
dc.identifier.endpage28
dc.identifier.issn0168-9274
dc.identifier.scopus2-s2.0-85160013794
dc.identifier.startpage17
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/12333
dc.identifier.volume191
dc.identifier.wosWOS:001011467200001
dc.language.isoen
dc.publisherElsevier B.V.
dc.relation.ispartofApplied Numerical Mathematics
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectFinite difference methods
dc.subjectIntegro-differential equation
dc.subjectRichardson extrapolation
dc.subjectSingular perturbation
dc.subjectUniform convergence
dc.subjectConvergence of numerical methods
dc.subjectFredholm integral equations
dc.subjectIntegrodifferential equations
dc.subjectNonlinear equations
dc.subjectFinite-difference methods
dc.subjectFirst order
dc.subjectFredholm integro-differential equations
dc.subjectNumerical approximations
dc.subjectSecond orders
dc.subjectSingular perturbations
dc.subjectSingularly perturbed
dc.subjectSingularly perturbed problem
dc.subjectFinite difference method
dc.titleA second-order numerical approximation of a singularly perturbed nonlinear Fredholm integro-differential equation
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus9
rdl.citation.wos9
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)