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
Publication Name (dc.title) | Regularized Asymptotics of the Solution of Systems of Parabolic Differential Equations |
Author/s (dc.contributor.yazarlar) | Asan Omuraliev, Ella Abylaeva |
Publication type (dc.type) | Makale |
Language (dc.language) | İngilizce |
Publication year (dc.date.issued) | 2022 |
National/International (dc.identifier.ulusaluluslararasi) | Uluslararası |
Source (dc.relation.journal) | Filomat |
Number (dc.identifier.issue) | 16 |
Volume/Issue (dc.identifier.volume) | 36 |
Page (dc.identifier.startpage) | 5591-5602 |
ISSN/ISBN (dc.identifier.issn) | ISSN: 0354-5180; Online ISSN: 2406-0933 |
Publisher (dc.publisher) | Prirodno-matematički fakultet, University of Niš, Serbia |
Databases (dc.contributor.veritaban) | Web of Science Core Collection |
Databases (dc.contributor.veritaban) | Kaynak web sitesi |
Databases (dc.contributor.veritaban) | Scopus |
Index Type (dc.identifier.index) | SCI Expanded |
Index Type (dc.identifier.index) | Scopus |
Impact Factor (dc.identifier.etkifaktoru) | 0,988 / 2021-WOS / 5 Year: 1,021 |
Abstract (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 |
Faculty / Institute (dc.identifier.fakulte) | Fen Fakültesi |
Department (dc.identifier.bolum) | Uygulamalı Matematik ve Enformatik Bölümü |
Author(s) in the Institution (dc.contributor.author) | Asan ÖMÜRALİEV |
Author(s) in the Institution (dc.contributor.author) | Ella ABILAYEVA |
Kayıt No (dc.identifier.kayitno) | BL9C6DB464 |
Record Add Date (dc.date.available) | 2023-03-06 |
Notes (Publication year) (dc.identifier.notyayinyili) | 2022 |
Wos No (dc.identifier.wos) | WOS:000964325200020 |
Subject Headings (dc.subject) | singularly perturbed |
Subject Headings (dc.subject) | the system of parabolic equations |
Subject Headings (dc.subject) | regularized asymptotic |
Subject Headings (dc.subject) | parabolic boundary layer function |