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Sibirskii Zhurnal Industrial'noi Matematiki, 2014, Volume 17, Number 4, Pages 3–13 (Mi sjim854)  
This article is cited in 8 scientific papers (total in 8 papers)

Solving a system of differential equations of block structure with unseparated boundary conditions

K. R. Aida-zadeab, Y. R. Ashrafovaa

a Institute of Cybernetics of the Azerbaijan National Academy of Sciences, 9 B. Vahabzade st., AZ 1141 Baku, Azerbaijan
b Azerbaijan State Oil Academy, 20 Azadlig av., AZ 1010, Baku, Azerbaijan
Full-text PDF (253 kB) Citations (8)
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Abstract: We study the solution of a system of higher-dimensional ordinary differential equations of block structure. Separate subsystems are connected with each other by unseparated boundary conditions caused by an arbitrary relation between the boundary values of the solutions to the subsystems. For numerical solution, we propose a scheme of the method of transfer of boundary conditions taking into account some specific characteristics of systems under consideration. The results of numerical experiments are given.
Keywords: system of differential equations, block structure of the system, unseparated boundary condition, method of transfer of conditions, Cauchy problem, Runge–Kutta method.
Received: 18.04.2014
English version:
Journal of Applied and Industrial Mathematics, 2015, Volume 9, Issue 1, Pages 1–10
DOI: https://doi.org/10.1134/S1990478915010019
Bibliographic databases:
Document Type: Article
UDC: 519.622.2
Language: Russian
Citation: K. R. Aida-zade, Y. R. Ashrafova, “Solving a system of differential equations of block structure with unseparated boundary conditions”, Sib. Zh. Ind. Mat., 17:4 (2014), 3–13; J. Appl. Industr. Math., 9:1 (2015), 1–10
Citation in format AMSBIB
\Bibitem{AidAsh14}
\by K.~R.~Aida-zade, Y.~R.~Ashrafova
\paper Solving a~system of differential equations of block structure with unseparated boundary conditions
\jour Sib. Zh. Ind. Mat.
\yr 2014
\vol 17
\issue 4
\pages 3--13
\mathnet{http://mi.mathnet.ru/sjim854}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3364388}
\transl
\jour J. Appl. Industr. Math.
\yr 2015
\vol 9
\issue 1
\pages 1--10
\crossref{https://doi.org/10.1134/S1990478915010019}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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