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Approximate solution of the two-dimensional singular integral equation

BildiriYalnız künye

Özet

Approximate quadrature formulas for the numerical calculation of the two-dimensional Vekua potential and singular integrals are obtained. The mechanical quadrature method for the two-dimensional quasilinear singular integral equation with Vekua operators is described. The numerical results are compared with the exact solution of the integral equation.

Anahtar Kelimeler

Mechanical quadrature methodSingular integral equationTwo-dimensional singular integral
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/gumushane/15576Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1063/1.4893807Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorAshyralyyev, Charyyar
dc.contributor.authorCakir, Zafer
dc.contributor.editorAshyralyev, A
dc.contributor.editorMalkowsky, E
dc.date.accessioned2026-10-22T10:24:12.405500951Z
dc.date.available2026-10-22T10:24:12.405500951Z
dc.date.issued2014
dc.description.abstractApproximate quadrature formulas for the numerical calculation of the two-dimensional Vekua potential and singular integrals are obtained. The mechanical quadrature method for the two-dimensional quasilinear singular integral equation with Vekua operators is described. The numerical results are compared with the exact solution of the integral equation.
dc.identifier.doi10.1063/1.4893807
dc.identifier.endpage77
dc.identifier.isbn978-073541247-7
dc.identifier.issn0094-243X
dc.identifier.scopus2-s2.0-84907359812
dc.identifier.startpage73
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/15576
dc.identifier.volume1611
dc.identifier.wosWOS:000343720600014
dc.language.isoen
dc.publisherAmerican Institute of Physics Inc.
dc.relation.conference2nd International Conference on Analysis and Applied Mathematics, ICAAM 2014
dc.relation.ispartofAIP Conference Proceedings
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectMechanical quadrature method
dc.subjectSingular integral equation
dc.subjectTwo-dimensional singular integral
dc.subject.classificationMathematics, Applied
dc.subject.classificationPhysics, Applied
dc.subject.classificationMathematics
dc.subject.classificationPhysics
dc.subject.otherApproximate solution
dc.subject.otherExact solution
dc.subject.otherMechanical quadrature methods
dc.subject.otherNumerical calculation
dc.subject.otherNumerical results
dc.subject.otherQuadrature formula
dc.subject.otherSingular integral
dc.subject.otherSingular integral equations
dc.subject.otherIntegral equations
dc.titleApproximate solution of the two-dimensional singular integral equation
dc.typeConference Object
dspace.entity.typePublication
rdl.citation.openalex3
rdl.citation.scopus2
rdl.citation.wos3
rdl.conference.date11 September 2014 through 13 September 2014
rdl.conference.placeShymkent
rdl.oa.statusclosed
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexConference Proceedings Citation Index - Science (CPCI-S)