Тези №1. Дробово-раціональна функція зображення методичної похибки в розв’язку диференціального рівняння стаціонарного електричного кола за ненульових початкових умов

Abstract

The article presents a mathematical identification of physical processes observed during the evolution of a stationary electric circuit under zero and non-zero initial conditions in the fundamental Cauchy problem. Based on the comparative analysis (using the Laplace integral transform), a fractional-rational function representing the methodological error that appears in the solution of the differential equation in the case of artificially zeroing the initial conditions that are non-zero according to the condition of the problem was obtained. The obtained results provide a mathematical basis for adjusting known methods of analyzing transient processes both in stationary electrical circuits and in dynamic systems of a different physical nature.