Bulletin KRASEC. Phys. & Math. Sci, 2015, V. 11, №. 2, pp. 85-92. ISSN 2313-0156

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DOI: 10.18454/2313-0156-2015-11-2-85-92

MSC 37C70

FINITE-DIFFERENCE SCHEMES FOR FRACTAL OSCILLATOR WITH A VARIABLE FRACTIONAL ORDER

R.I. Parovik¹²

¹Institute of Cosmophysical Research and Radio Wave Propagation, Far-Eastern Branch, Russian Academy of Sciences, 684034, Kamchatskiy Kray, Paratunka, Mirnaya st., 7, Russia.
²Vitus Bering Kamchatka State University, 683031, Petropavlovsk-Kamchatsky, Pogranichnaya st., 4, Russia.

E-mail: romanparovik@gmail.com.

The paper considers explicit finite-difference schemes for a fractional oscillator. The questions of approximation, stability and convergence of these schemes are under investigation.

Key words: finite-difference scheme, convergence, stability.

References

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For citation: Parovik R.I. Finite-difference schemes for fractal oscillator with a variable fractional order. Bulletin KRASEC. Physical and Mathematical Sciences 2015, vol. 11, issue 2, 85-92. DOI: 10.18454/2313-0156-2015-11-2-85-92.

Original article submitted: 15.11.2015

Par

    Parovik Roman Ivanovich – Ph.D. (Phys. & Math.), Dean of the Faculty of Physics and Mathematics Vitus Bering Kamchatka State University, Senior Researcher of Lab. Modeling of Physical Processes, Institute of Cosmophysical Researches and Radio Wave Propagation FEB RAS.

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