Abstract:
In this paper, we consider a class of second order systems of the Volterra nonlinear integral equations. This class is related to the automatic control problem of a dynamic object with vector inputs and outputs. A numerical solution technique based on the Newton–Kantorovich method is considered. To verify the efficiency of the algorithms developed, a series of test calculations were carried out.
Key words:
systems of the polynomial Volterra equations of the first kind, numerical solution, Newton–Kantorovich method.
Citation:
S. V. Solodusha, “To the numerical solution of one class of systems of the Volterra polynomial equations of the first kind”, Sib. Zh. Vychisl. Mat., 21:1 (2018), 117–126; Num. Anal. Appl., 11:1 (2018), 89–97
\Bibitem{Sol18}
\by S.~V.~Solodusha
\paper To the numerical solution of one class of systems of the Volterra polynomial equations of the first kind
\jour Sib. Zh. Vychisl. Mat.
\yr 2018
\vol 21
\issue 1
\pages 117--126
\mathnet{http://mi.mathnet.ru/sjvm672}
\crossref{https://doi.org/10.15372/SJNM20180108}
\elib{https://elibrary.ru/item.asp?id=32466484}
\transl
\jour Num. Anal. Appl.
\yr 2018
\vol 11
\issue 1
\pages 89--97
\crossref{https://doi.org/10.1134/S1995423918010093}
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https://www.mathnet.ru/eng/sjvm672
https://www.mathnet.ru/eng/sjvm/v21/i1/p117
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