Analisis of algorithms intended for solution of stiff differential equations systems in automatic control systems modeling software packages

Authors

  • S. M. Moskvina
  • T. O. Holubieva

Keywords:

differential equations systems, modeling software packages, automatic control

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.

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Published

2010-11-12

How to Cite

[1]
S. M. Moskvina and T. O. Holubieva, “Analisis of algorithms intended for solution of stiff differential equations systems in automatic control systems modeling software packages”, Вісник ВПІ, no. 2, pp. 21–25, Nov. 2010.

Issue

No 2 (2004)

Section

Automation and information-measuring equipment

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