Artificial intelligence

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Approximate Modeling of the Crystallization Process in the Presence of Convection

Sypko I.1
1 Donetsk National Technical University

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UDC: 517.988:004.89
Publication Language: Russian
Stuc. intelekt. 2013; 18(2):80–85

Abstract: The problem of control of technologies process of metals thermal processing is considered. As information resource the three dimensional convection Stefan problem in liquid phase is investigated. The approximate solution is constructed by using the method of small parameter. Moreover, the author indicates a simple condition guaranteeing the existence of the corresponding stationary solution and its stability, the latter being understood in its usual sense. The approximate solution is considered.

Keywords: process of crystallization, mathematical model, the task of Stephen, the liquid phase convection

References:

  1. Paton B.E. Selected works / Paton B.E. – Kiev : Electric Welding Institute named E.O. Paton of the NASof Ukraine, 2008. – 893 s.
  2. Minenko A.S. Approximate analysis of multi-dimensional convection of Stefan / A.S. Minenko,A.I. Shevchenko // Reports of NAS of Ukraine. – 2010. – № 4 – S. 30-34. (professional journals Ukraineincluded in the list of approved HAC).
  3. Minenko A.S. Methods for the study of nonlinear mathematical models / A.S. Minenko, A.I. Shevchenko.– Kiev : Naukova Dumka, 2012. – 130 s.

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