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

PARAMETER UNIFORM SECOND-ORDER NUMERICAL APPROXIMATION FOR THE INTEGRO-DIFFERENTIAL EQUATIONS INVOLVING BOUNDARY LAYERS

ArticleAçık Erişim

Özet

The work handles a Fredholm integro-differential equation involv-ing boundary layers. A fitted second-order difference scheme has been created on a uniform mesh utilizing interpolating quadrature rules and exponential basis functions. The stability and convergence of the proposed discretization technique are analyzed and one example is solved to display the advantages of the presented technique.

Anahtar Kelimeler

Finite difference methodFredholm integro-differential equationsingular pertur-bationuniform convergenceFINITE-DIFFERENCE METHODMathematics
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/17040Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.31801/cfsuasmas.1072728Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorDurmaz, Muhammet Enes
dc.contributor.authorCakir, Musa
dc.contributor.authorAmirali, Gabil
dc.date.accessioned2026-10-18T20:42:58.721238992Z
dc.date.available2026-10-18T20:42:58.721238992Z
dc.date.issued2022
dc.description.abstractThe work handles a Fredholm integro-differential equation involv-ing boundary layers. A fitted second-order difference scheme has been created on a uniform mesh utilizing interpolating quadrature rules and exponential basis functions. The stability and convergence of the proposed discretization technique are analyzed and one example is solved to display the advantages of the presented technique.
dc.identifier.doi10.31801/cfsuasmas.1072728
dc.identifier.eissn2618-6470
dc.identifier.endpage967
dc.identifier.issn1303-5991
dc.identifier.issue4
dc.identifier.startpage954
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/17040
dc.identifier.volume71
dc.identifier.wosWOS:000913394100006
dc.language.isoen
dc.publisherANKARA UNIV, FAC SCI
dc.relation.ispartofCOMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectFinite difference method
dc.subjectFredholm integro-differential equation
dc.subjectsingular pertur-bation
dc.subjectuniform convergence
dc.subjectFINITE-DIFFERENCE METHOD
dc.subjectMathematics
dc.titlePARAMETER UNIFORM SECOND-ORDER NUMERICAL APPROXIMATION FOR THE INTEGRO-DIFFERENTIAL EQUATIONS INVOLVING BOUNDARY LAYERS
dc.typeArticle
dspace.entity.typePublication
rdl.citation.trdizin1
rdl.citation.wos7
rdl.departmentVAN YÜZÜNCÜ YIL ÜNİVERSİTESİ
rdl.departmentERZİNCAN BİNALİ YILDIRIM ÜNİVERSİTESİ
rdl.departmentKIRKLARELİ ÜNİVERSİTESİ
rdl.oa.statusgold
rdl.source.indexWOS
rdl.source.indexTRDIZIN
rdl.wos.indexEmerging Sources Citation Index (ESCI)