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.
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 |