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, Siberian Branch of the Russian Academy of Sciences, Lermontova st., 130, Irkutsk, 664033
Keywords: системы полиномиальных интегральных уравнений Вольтерра I рода, численное решение, метод Ньютона-Канторовича, systems of the polynomial Volterra equations of the first kind, numerical solution, Newton-Kantorovich method
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.
|
