Solutions of the momentum chains for the transport equation and their approximations

V. A. Galkin, P. A. Zdorovtsev

Obninsk Institute for Nuclear Power Engineering of the National Research Nuclear University MEPhI

Abstract: One linear infinite mathematical model of a hierarchic system is studied, in which oscillation is transferred consistently from the top levels to the bottom ones, and a phenomenon of filling the levels in finite time typical for explosive processes, appears. Test calculations are carried out and presented, simulation models are justified.

Keywords: simulation, infinite systems of linear differential equations.

Received: 31.10.2011

 English version: Mathematical Models and Computer Simulations, 2013, 5:3, 289–293

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