Optimal parameterization for systems of Integra-differential-algebraic equations with delay argument

Аuthors

Dmitriev S. S.^*, Kuznetsov E. B.^**

Moscow Aviation Institute (National Research University), 4, Volokolamskoe shosse, Moscow, А-80, GSP-3, 125993, Russia

*e-mail: stas_2k@mail.ru
**e-mail: kuznetsov@mai.ru

Abstract

A numerical solution of initial value problem for nonlinear systems of integro-differential-algebraic equations with delay argument is investigated using the method of solution continuation with respect to a parameter. Necessary and sufficient conditions are proved to transform the problem to the optimal argument. The optimal argument is the arc length counted along the integral curve of the problem. Numerical examples demonstrate efficiency of this approach.