The regularization method for singularly perturbed problems of S. A. Lomov is generalized to constructing the asymptotics of the solution of the first boundary value problem for systems of differential equations of parabolic type with a small parameter at all derivatives.It is shown that the asymptotics of the solution of the problem contains n exponential, 2n parabolic and 2n angle boundary layer functions.The exponential boundary layer function describes the boundary layer along t 0, the boundary layer along x 0 and x 1 is described by parabolic boundary layer functions. © 2022, University of Nis. All rights reserved.Keyword: parabolic boundary layer function; regularized asymptotic; singularly perturbed; the system of parabolic equations
Yayın Adı (dc.title) | Regularized Asymptotics of the Solution of Systems of Parabolic Differential Equations |
Yazar/lar (dc.contributor.yazarlar) | Asan Omuraliev, Ella Abylaeva |
Yayın Türü (dc.type) | Makale |
Dil (dc.language) | İngilizce |
Yayımlanma Yılı (dc.date.issued) | 2022 |
Ulusal/Uluslararası (dc.identifier.ulusaluluslararasi) | Uluslararası |
Kaynak (dc.relation.journal) | Filomat |
Süreli Sayı (dc.identifier.issue) | 16 |
Cilt/Sayı (dc.identifier.volume) | 36 |
Sayfa (dc.identifier.startpage) | 5591-5602 |
ISSN/ISBN (dc.identifier.issn) | ISSN: 0354-5180; Online ISSN: 2406-0933 |
Yayıncı (dc.publisher) | Prirodno-matematički fakultet, University of Niš, Serbia |
Veri Tabanları (dc.contributor.veritaban) | Web of Science Core Collection |
Veri Tabanları (dc.contributor.veritaban) | Kaynak web sitesi |
Veri Tabanları (dc.contributor.veritaban) | Scopus |
İndex Türü (dc.identifier.index) | SCI Expanded |
İndex Türü (dc.identifier.index) | Scopus |
Etki Faktörü (dc.identifier.etkifaktoru) | 0,988 / 2021-WOS / 5 Year: 1,021 |
Özet (dc.description.abstract) | The regularization method for singularly perturbed problems of S. A. Lomov is generalized to constructing the asymptotics of the solution of the first boundary value problem for systems of differential equations of parabolic type with a small parameter at all derivatives.It is shown that the asymptotics of the solution of the problem contains n exponential, 2n parabolic and 2n angle boundary layer functions.The exponential boundary layer function describes the boundary layer along t 0, the boundary layer along x 0 and x 1 is described by parabolic boundary layer functions. © 2022, University of Nis. All rights reserved.Keyword: parabolic boundary layer function; regularized asymptotic; singularly perturbed; the system of parabolic equations |
URL (dc.rights) | https://www.pmf.ni.ac.rs/filomat-content/2022/36-16/36-16-20-17151.pdf |
DOI (dc.identifier.doi) | 10.2298/FIL2216591O |
Fakültesi / Enstitütü (dc.identifier.fakulte) | Fen Fakültesi |
Bölümü (dc.identifier.bolum) | Uygulamalı Matematik ve Enformatik Bölümü |
Kurumdaki Yazar/lar (dc.contributor.author) | Asan ÖMÜRALİEV |
Kurumdaki Yazar/lar (dc.contributor.author) | Ella ABILAYEVA |
Kayıt No (dc.identifier.kayitno) | BL9C6DB464 |
Kayıt Giriş Tarihi (dc.date.available) | 2023-03-06 |
Not (Yayımlanma Yılı) (dc.identifier.notyayinyili) | 2022 |
Wos No (dc.identifier.wos) | WOS:000964325200020 |
Konu Başlıkları (dc.subject) | singularly perturbed |
Konu Başlıkları (dc.subject) | the system of parabolic equations |
Konu Başlıkları (dc.subject) | regularized asymptotic |
Konu Başlıkları (dc.subject) | parabolic boundary layer function |