Numerical analysis of the influence of the initial parameters on the convergence rate of the approximate solution of the boundary value problem

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dc.authorid0000-0002-7401-4312en_US
dc.contributor.authorKerimbekov, Akylbek
dc.contributor.authorErmekbaeva, Aijana
dc.contributor.authorMombekova, Gulnaz
dc.date.accessioned2024-07-12T20:55:47Z
dc.date.available2024-07-12T20:55:47Z
dc.date.issued2019en_US
dc.departmentMaltepe Üniversitesi, İnsan ve Toplum Bilimleri Fakültesien_US
dc.description.abstractIn the present paper, the boundary value problem is considered of a controlled thermal process with an Fredholm integral operator in the case when the action of external heat flow occurs in the form of several moving point sources. In mathematical formalization, the generalized Dirac delta function was used. The procedure are briefly outlined for constructing a generalized solution of the boundary value problem and its approximations. It is shown that the presence of an integral operator determines the construction of two types of approximations and their convergence is proved. Sufficient conditions are found for convergence of approximations to a point solution. The main attention was paid to the influence of the parametric variation of the problem on the convergence rate of the approximations. The numerical calculations is given in tabular form.en_US
dc.identifier.citationKerimbekov, A., Ermekbaeva, A. ve Mombekova, G. (2019).Numerical analysis of the influence of the initial parameters on the convergence rate of the approximate solution of the boundary value problem. International Conference of Mathematical Sciences (ICMS 2019). s. 110.en_US
dc.identifier.endpage111en_US
dc.identifier.isbn978-605-2124-29-1
dc.identifier.startpage110en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12415/2895
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofInternational Conference of Mathematical Sciences (ICMS 2019)en_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.snmzKY01402
dc.subjectBoundary value problemen_US
dc.subjectGeneralized solutionen_US
dc.subjectApproximationen_US
dc.titleNumerical analysis of the influence of the initial parameters on the convergence rate of the approximate solution of the boundary value problemen_US
dc.typeArticle
dspace.entity.typePublication

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