Numerical analysis of convergence rate of approximation solutions of a boundary value problem for oscillation processes

Basit Öğe Kaydı
dc.contributor.authorAbdyldaeva, Elmira
dc.contributor.authorKabaeva, Zarina
dc.contributor.authorKarabakinov, Kubat
dc.date.accessioned2024-07-12T20:49:06Z
dc.date.available2024-07-12T20:49:06Z
dc.date.issued2019en_US
dc.departmentFakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn the paper [1] the boundary problem was investigated for the controlled processes described by integrodifferential equation of hyperbolic-type with Fredholm integral operator. A generalized solution and its approximations were constructed for the boundary value problem with boundary conditions of the second and third types. The convergence of approximations to the generalized solution was proved in the norm of Hilbert space. In the present paper, the dynamics of convergence rate is investigated of the approximations depending on the changes of the stiffness coefficient of the elastic fixation. The results of the numerical analysis show that with increasing of stiffness coefficient (parameter ?) of the elastic fixation the radius of convergence of Neumann series increases, and the convergence rate of the approximations to the exact solution accelerates.en_US
dc.identifier.citationAbdyldaeva, E., Kabaeva, Z. ve Karabakirov, K. (2019). Numerical analysis of convergence rate of approximation solutions of a boundary value problem for oscillation processes. International Conference of Mathematical Sciences (ICMS 2019). s. 132.en_US
dc.identifier.endpage133en_US
dc.identifier.isbn978-605-2124-29-1
dc.identifier.startpage132en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12415/2115
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.snmzKY01477
dc.subjectBoundary value problemen_US
dc.subjectCoefficient of stiffnessen_US
dc.subjectConvergenceen_US
dc.titleNumerical analysis of convergence rate of approximation solutions of a boundary value problem for oscillation processesen_US
dc.typeArticle
dspace.entity.typePublication

Dosyalar

Koleksiyon

İnsan ve Toplum Bilimleri Fakültesi Koleksiyonu