Traditionally the Euler method is used for solving systems of linear differential equations. The method is based on the use of eigenvalues of a system's coefficients matrix. Another method to solve those systems is the D'Alembert integrable combination method. In this paper, we present a new method for solving systems of linear differential and difference equations. The main idea of the method is using the coefficients matrix eigenvalues to find integrable combinations of system variables. This method is particularly advantageous when nonhomogeneous systems are considered.
Publication Name (dc.title) | Direct Integration of Systems of Linear Differential and Difference Equations |
Author/s (dc.contributor.yazarlar) | Syrgak Kydyraliev, Anarkul Urdaletova |
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) | Filomat |
Additional source name / Conference information (dc.identifier.kaynakadiekbilgi) | 8th International Conference on Mathematical Analysis, Differential Equation and Applications (MADEA).- Cholpon Ata, KYRGYZSTAN.- JUN 17-23, 2018 |
Number (dc.identifier.issue) | 5 |
Volume/Issue (dc.identifier.volume) | 33 |
Page (dc.identifier.startpage) | 1453-1461 |
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) | CPCI-S |
Index Type (dc.identifier.index) | Scopus |
Impact Factor (dc.identifier.etkifaktoru) | 0,789 / 2018-WOS / 5 Year: 0,852 |
Abstract (dc.description.abstract) | Traditionally the Euler method is used for solving systems of linear differential equations. The method is based on the use of eigenvalues of a system's coefficients matrix. Another method to solve those systems is the D'Alembert integrable combination method. In this paper, we present a new method for solving systems of linear differential and difference equations. The main idea of the method is using the coefficients matrix eigenvalues to find integrable combinations of system variables. This method is particularly advantageous when nonhomogeneous systems are considered. |
URL (dc.rights) | http://www.pmf.ni.ac.rs/filomat-content/2019/33-5/33-5-18-9333.pdf |
DOI (dc.identifier.doi) | 10.2298/FIL1905453K |
Faculty / Institute (dc.identifier.fakulte) | Fen Fakültesi |
Department (dc.identifier.bolum) | Matematik Bölümü |
Author(s) in the Institution (dc.contributor.author) | Anarkül URDALETOVA |
Kayıt No (dc.identifier.kayitno) | BL065FE6A5 |
Record Add Date (dc.date.available) | 2019-11-29 |
Notes (Publication year) (dc.identifier.notyayinyili) | 2019 |
Wos No (dc.identifier.wos) | WOS:000496192400019 |
Subject Headings (dc.subject) | systems of linear differential equations |
Subject Headings (dc.subject) | difference equations |