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UNIFORM CONVERGENCE RESULTS FOR SINGULARLY PERTURBED FREDHOLM INTEGRO-DIFFERENTIAL EQUATION

ArticleAçık Erişim

Özet

The study deals with an initial-value problem for a singularly perturbed Fredholm integro-differential equation. Parameter explicit theoretical bounds on the continuous solution and its derivative are derived. Parameter uniform error estimates for the approximate solution are established. Numerical results are given to illustrate the parameter-uniform convergence of the numerical approximations.

Anahtar Kelimeler

Fredholm integro-differential equationsingular perturbationfinite differenceuniform convergenceFINITE-DIFFERENCE METHODNUMERICAL-SOLUTIONINTEGRAL-EQUATIONSMathematics, AppliedMathematics
RDL Kalıcı Bağlantı (PID)
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Tam Kayıt
AlanDeğerDil
dc.contributor.authorAmiraliyev, Gabil M.
dc.contributor.authorDurmaz, Muhammet Enes
dc.contributor.authorKudu, Mustafa
dc.date.accessioned2026-10-18T20:36:28.110253718Z
dc.date.available2026-10-18T20:36:28.110253718Z
dc.date.issued2018
dc.description.abstractThe study deals with an initial-value problem for a singularly perturbed Fredholm integro-differential equation. Parameter explicit theoretical bounds on the continuous solution and its derivative are derived. Parameter uniform error estimates for the approximate solution are established. Numerical results are given to illustrate the parameter-uniform convergence of the numerical approximations.
dc.identifier.endpage64
dc.identifier.issn2217-3412
dc.identifier.issue6
dc.identifier.startpage55
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/16586
dc.identifier.volume9
dc.identifier.wosWOS:000454624200005
dc.language.isoen
dc.publisherUNIV PRISHTINES
dc.relation.ispartofJOURNAL OF MATHEMATICAL ANALYSIS
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectFredholm integro-differential equation
dc.subjectsingular perturbation
dc.subjectfinite difference
dc.subjectuniform convergence
dc.subjectFINITE-DIFFERENCE METHOD
dc.subjectNUMERICAL-SOLUTION
dc.subjectINTEGRAL-EQUATIONS
dc.subjectMathematics, Applied
dc.subjectMathematics
dc.titleUNIFORM CONVERGENCE RESULTS FOR SINGULARLY PERTURBED FREDHOLM INTEGRO-DIFFERENTIAL EQUATION
dc.typeArticle
dspace.entity.typePublication
rdl.citation.wos31
rdl.source.indexWOS
rdl.wos.indexEmerging Sources Citation Index (ESCI)