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JOURNALS // Vestnik KRAUNC. Fiziko-Matematicheskie Nauki // Archive

Vestnik KRAUNC. Fiz.-Mat. Nauki, 2015 Number 2(11), Pages 88–95 (Mi vkam13)

This article is cited in 5 papers

INFORMATION AND COMPUTATION TECHNOLOGIES

Finite-difference scheme for fractal oscillator with a variable fractional order

R. I. Parovikab

a Institute of Cosmophysical Researches and Radio Wave Propagation, Far East Division, Russian Academy of Sciences, 684034, Kamchatskiy Kray, Paratunka, Mirnaya st., 7, Russia
b Kamchatka State University named after Vitus Bering, 683031, Petropavlovsk-Kamchatsky, Pogranichnaya st., 4, Russia

Abstract: The paper deals with the explicit finite difference schemes for the fractional oscillator. The questions of approximation, stability and convergence of these schemes.

Keywords: finite-difference scheme, convergence, stability.

UDC: УДК 517.925.42

MSC: 37C70

Received: 15.11.2015

DOI: 10.18454/2079-6641-2015-11-2-88-95


 English version:
Bulletin KRASEC. Physical and Mathematical Sciences, 2015, 11:2, 85–92

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