FINITE-DIFFERENCE SCHEME FOR FRACTAL OSCILLATOR WITH A VARIABLE FRACTIONAL ORDER
Journal Title: Вестник КРАУНЦ. Физико-математические науки - Year 2015, Vol 2, Issue
Abstract
The paper deals with the explicit finite difference schemes for the fractional oscillator. The questions of approximation, stability and convergence of these schemes.
Authors and Affiliations
Roman Parovik
Keywords
Related Articles
- EP ID EP486507
- DOI 10.18454/2079-6641-2015-11-2-88-95
- Views 98
- Downloads 0
THE FIRST BOUNDARY VALUE PROBLEM FOR THE NON-HOMOGENEOUS HALLAIRE EQUATION
First boundary value problem is investigated for the Hallaire inhomogeneous equation. With the help of the Fourier method we have found an explicit representation of a regular solution.
SUSTAINABLE DEVELOPMENT OF SOCIETY: SYNERGETIC APPROACH
The article examines becoming the paradigm of «sustainable development of society»from the standpoint ot the modern stage of development of post-nonclassical scientific knowledge society.
GROUPS WITH REPRESENTATION < a,b;a n = 1,ab = b³a³>
Established that for n = 4 and n ≥ 7 group G(n) = < a,b;a^n = 1,ab = b³a³> are infinite, and for the remaining n evaluated the procedure and investigate the structure of the group G(n).
MATHEMATICAL MODEL OF PROPAGATION OF NERVE IMPULSES WITH REGARD HEREDITARITY
A mathematical model of the propagation of the nervous pulse of FitzHugh-Nagumo is proposed, which takes into account the effect of heredity. This hereditary model is described by an integro-differential equation with a...
ANALYSIS OF GEOMAGNETIC FIELD DATA AND COSMIC RAYS VARIATIONS DURING PERIODS OF INCREASED SOLAR ACTIVITY
We performed analysis of the cosmic rays variations and studied features of geomagnetic field variations during periods of increased solar activity. The paper applies a new methods of modeling and analysis of the data de...