This article is cited in 6 papers

To the numerical solution of one class of systems of the Volterra polynomial equations of the first kind

S. V. Solodusha

L. A. Melentiev Energy Systems Institute SB RAS, 130 Lermontov str., Irkutsk, 664033, Russia

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.

UDC: 519.642

Received: 02.05.2017

DOI: 10.15372/SJNM20180108

 English version: Numerical Analysis and Applications, 2018, 11:1, 89–97

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