Solodusha S.V. Numerical Solution of A Class of Systems of Volterra Polynomial Equations of the First Kind // Numerical Analysis and Applications. Vol.11. №1. 2018. P.89-97. DOI: 10.1134/S1995423918010093 In this paper, a class of second-order systems of Volterra nonlinear integral equations is considered. This class is related to a problem of automatic control of a dynamic object with vector inputs and outputs. A numerical solution technique based on the Newton–Kantorovich method is considered...
Теги: newton–kantorovich method , numerical solution , systems of polynomial volterra equations of the first kind , automation , integral equations , numerical methods , polynomials , dynamic objects , kantorovich method , nonlinear integral equations , second-order systSolodusha S. Solving one class of systems of the polynomial volterra equations of the first kind by Newton's method // 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings. 2017. ISBN (print): 9 781 509 062 607. DOI: 10.1109/CNSA.2017.7974016 A known approach to the mathematical modeling of nonlinear dynamic systems (objects) of input-output type is based on the Volterra integro-power series. In this paper consideration is given...
Теги: automation , dynamical systems , integral equations , newton-raphson method , nonlinear dynamical systems , numerical methods , dynamic objects , input and outputs , kantorovich method , newton's methods , nonl
