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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2020, Volume 60, Number 2, Pages 197–215
DOI: https://doi.org/10.31857/S0044466920020040 (Mi zvmmf11030) 		 
This article is cited in 34 scientific papers (total in 34 papers)

Numerical solution to a control problem for integro-differential equations

A. T. Assanovaab, E. A. Bakirovaabc, Zh. M. Kadirbaevaabd

a Institute of Information and Computational Technologies, Almaty, 050010 Kazakhstan
b Institute of Mathematics and Mathematical Modeling, Almaty, 050010 Kazakhstan
c Kazakh National Women’s Teacher Training University, Almaty, 050012 Kazakhstan
d International Information Technology University, Almaty, 050040 Kazakhstan
Citations (34)
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DOI: https://doi.org/10.31857/S0044466920020040
Abstract: A control problem for an integro-differential equation is approximated by a problem with parameter for a loaded differential equation. A mutual relationship between the qualitative properties of the original and approximate problems is obtained, and estimates for the differences between their solutions are given. A numerical-approximate method for solving the control problem for the integro-differential equation is proposed, and the convergence, stability, and accuracy of the method are examined.
Key words: integro-differential equation, control problem, approximation, algorithm, numerical solution.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan AP05132455
AP05131220
AP05132486
This research was supported and partially supported by the Ministry of Education and Science of the Republic Kazakhstan, grant nos. AP05132455, AP05131220, and AP05132486, respectively.
Received: 27.12.2018
Revised: 30.04.2019
Accepted: 17.10.2019
English version:
Computational Mathematics and Mathematical Physics, 2020, Volume 60, Issue 2, Pages 203–221
DOI: https://doi.org/10.1134/S0965542520020049
Bibliographic databases:
Document Type: Article
UDC: 519.62
Language: Russian
Citation: A. T. Assanova, E. A. Bakirova, Zh. M. Kadirbaeva, “Numerical solution to a control problem for integro-differential equations”, Zh. Vychisl. Mat. Mat. Fiz., 60:2 (2020), 197–215; Comput. Math. Math. Phys., 60:2 (2020), 203–221
Citation in format AMSBIB
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    • This publication is cited in the following 34 articles:
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:21
     
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