Аналіз алгоритмів розв'язання систем жорстких диференціальних рівнянь у пакетах моделювання систем автоматичного керування

Abstract

Comparative analysis of existing numerical methods of stiff differential equations systems solution, that, as a rule, are used for description of automatic control systems dynamics mathematical models is carried out. Explicit and implicit methods are examined, such as the Runge-Kutta method, Gir methods, methods with automatic step variation, in order to evaluate the efficiency of their application in automatic control systems modeling software packages. Stiff differential equations systems experimental research results are given. The algorithm of solving stiff differential equations systems is proposed, that uses automatic step variation and results value sorting, that allows to solve problem put forward in the given paper.