Application of discrete continuation for solving systems of differential-algebraic equations

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

Problem of analyzing of durability of aviation and rocket-space constructions subject to creep of material may be reduced to numerical solving of systems of differential-algebraic equations with delay argument. Approach for solving systems of differential-algebraic equations, based on discrete continuation along the best argument is considered. Error estimation of solution of the system of nonlinear equations by Newton's method is obtained. System that describes process of vibration-drilling is solved via this approach.

Keywords:

aviation constructions, rocket-space construction, system of differential-algebraic equations, the best argument, continuous continuation, discrete continuation