Quadrature formula for semi-bounded solution of characteristic singular integral equation of cauchy type

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dc.contributor.authorEshkuvvatov, Z. K.
dc.contributor.authorLong, N. M. A. Nik
dc.contributor.authorAbdulkawi, M.
dc.date.accessioned2024-07-12T20:55:59Z
dc.date.available2024-07-12T20:55:59Z
dc.date.issued2009en_US
dc.departmentMaltepe Üniversitesi, İnsan ve Toplum Bilimleri Fakültesien_US
dc.description.abstractIt is known that the solutions of characteristic singular integral equations (SIEs) are expressed in terms of singular integrals of Cauchy type with wight functions of the form w(x) = (x - a)º(b - x)¹ , where -1 < º; ¹ < 1: In this paper new quadrature formulas are presented to approximate singular integrals of Cauchy type for half bounded solution of characteristic SIEs on the interval [-1; 1]. Linear interpolation spline and modification discrete vortices method (MMDV) are used to construct quadrature formula. Estimations of error are obtained in the classes of functions H ([-1; 1]) and C1([-1; 1]). Numerical experiments are presented to show the validity of the method presented.en_US
dc.identifier.citationEshkuvvatov, Z. K. ve Long, N. M. A. N. (2009). Quadrature formula for semi-bounded solution of characteristic singular integral equation of cauchy type. Maltepe Üniversitesi. s. 397.en_US
dc.identifier.endpage398en_US
dc.identifier.isbn9.78605E+12
dc.identifier.startpage397en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12415/2919
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofInternational Conference of Mathematical Sciencesen_US
dc.relation.publicationcategoryUluslararası Konferans Öğesi - Başka Kurum Yazarıen_US
dc.rightsCC0 1.0 Universal*
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.snmzKY07643
dc.subjectSingular integralen_US
dc.subjectSingular integral equationsen_US
dc.subjectQuadrature formulaen_US
dc.subjectCanonic partitionen_US
dc.subjectDiscrete vortices methoden_US
dc.subjectApproximationen_US
dc.subjectSplineen_US
dc.titleQuadrature formula for semi-bounded solution of characteristic singular integral equation of cauchy typeen_US
dc.typeConference Object
dspace.entity.typePublication

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