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Numerical Solution of A Class of Systems of Volterra Polynomial Equations of the First Kind

... 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. To verify the efficiency of the algorithms developed, a series of test calculations are carried out. © 2018, Pleiades Publishing, Ltd. входит

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 syst
Раздел: ИСЭМ СО РАН
Solving one class of systems of the polynomial volterra equations of the first kind by Newton's method

... class of systems of Volterra nonlinear integral equations which are associated with the problem of automatic control of a dynamic object with vector input and output. The algorithms to numerically solve these systems of equations are based on the Newton-Kantorovich method. Specific features of the algorithms are illustrated on the model examples. Reference dynamic system is represented by a mathematical model of transient process in the heat exchanger element. © 2017 IEEE. нет

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
Раздел: ИСЭМ СО РАН


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