I. A. Sudakov, T. G. Sukacheva, “Issues of Patankar's numerical scheme stability”, Computer Research and Modeling, 2012, Volume 4, Issue 4,Pages <nobr>827

MODELS IN PHYSICS AND TECHNOLOGY

Issues of Patankar's numerical scheme stability

I. A. Sudakov^ab, T. G. Sukacheva^b

^a University of Utah, Department of Mathematics, 155 S 1400 E, Room 233. Salt Lake City, UT 84112-0090, USA
^b Novgorod State University, Institute of Electronic and Information Systems, B.St.-Peterburgskaya str. 41, 173003, Velikiy Novgorod, Russia

Abstract: In this paper we consider the issues of Patankar's numerical scheme stability. The Patankar’s numerical scheme is applied in the most number of the applications. So, the issues of Patankar's numerical scheme stability are very important question for the applications.

Keywords: numerical methods, Patankar, thermal conductivity equation, discrete analog.

UDC: 519.63

Received: 05.08.2012

DOI: 10.20537/2076-7633-2012-4-4-827-835