R. I. Parovik, “Numerical analysis some oscillation equations with fractional order derivatives”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2014, Number 2(9),Pages <nobr>30

This article is cited in 6 papers

MATHEMATICAL MODELING

Numerical analysis some oscillation equations with fractional order derivatives

R. I. Parovik^ab

^a Institute of Cosmophysical Researches and RadioWave Propagation Far-Eastern Branch, Russian Academy of Sciences, 684034, Kamchatskiy Kray, Paratunka, Mirnaya st., 7, Russia
^b Vitus Bering Kamchatka State University, 683031, Petropavlovsk-Kamchatsky, Pogranichnaya st., 4, Russia

Abstract: The paper presents a mathematical model of non-classical dynamic systems. A numerical method of difference schemes, depending on various parameters of the system were found numerical solutions of models. The phase trajectory.

Keywords: operator Gerasimov-Caputo, numerical solution, finite difference scheme, the phase trajectories.

UDC: 517.955

MSC: 35C05

Received: 23.06.2014

DOI: 10.18454/2079-6641-2014-9-2-30-35