Numerical Analysis of Convergence Rate of Approximation Solutions to Boundary Value Problem for Oscillation Processes

In this paper, the dynamics of convergence rate is investigated for 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 alpha) of the elastic fixation the radius of convergence of Neumann series increases, and the convergence rate of the approximations to the exact solution accelerates.

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Publication Name
(dc.title)
Numerical Analysis of Convergence Rate of Approximation Solutions to Boundary Value Problem for Oscillation Processes
Author/s
(dc.contributor.yazarlar)
Elmira Abdyldaeva, Zarina Kabaeva, Kubat Karabakirov
Publication type
(dc.type)
Konferans Bildirisi
Language
(dc.language)
İngilizce
Publication year
(dc.date.issued)
2019
National/International
(dc.identifier.ulusaluluslararasi)
Uluslararası
Source
(dc.relation.journal)
AIP Conference Proceedings
Additional source name / Conference information
(dc.identifier.kaynakadiekbilgi)
Third International Conference of Mathematical Sciences (ICMS 2019).- 4–8 September 2019.- Istanbul, Turkey
Number
(dc.identifier.issue)
1-UNSP 070005
Volume/Issue
(dc.identifier.volume)
2183
ISSN/ISBN
(dc.identifier.issn)
ISBN: 978-0-7354-1930-8; ISSN: 0094-243X
Publisher
(dc.publisher)
AIP Publishing
Databases
(dc.contributor.veritaban)
Web of Science Core Collection
Databases
(dc.contributor.veritaban)
AIP Publishing
Databases
(dc.contributor.veritaban)
Scopus
Index Type
(dc.identifier.index)
CPCI-S
Index Type
(dc.identifier.index)
Scopus
Abstract
(dc.description.abstract)
In this paper, the dynamics of convergence rate is investigated for 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 alpha) of the elastic fixation the radius of convergence of Neumann series increases, and the convergence rate of the approximations to the exact solution accelerates.
URL
(dc.rights)
https://aip.scitation.org/doi/abs/10.1063/1.5136167
DOI
(dc.identifier.doi)
10.1063/1.5136167
Faculty / Institute
(dc.identifier.fakulte)
Fen Fakültesi
Department
(dc.identifier.bolum)
Matematik Bölümü
Author(s) in the Institution
(dc.contributor.author)
Elmira ABDILDAYEVA
Kayıt No
(dc.identifier.kayitno)
BL7C762B02
Record Add Date
(dc.date.available)
2020-01-17
Notes (Publication year)
(dc.identifier.notyayinyili)
2019
Wos No
(dc.identifier.wos)
WOS:000505225800063
Subject Headings
(dc.subject)
elastic fixation
Subject Headings
(dc.subject)
numerical analysis
Subject Headings
(dc.subject)
radius of convergence
Subject Headings
(dc.subject)
realization in computer
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