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
BOUNDARY VALUE PROBLEM FOR DIFFERENTIAL EQUATION WITH FRACTIONAL ORDER DERIVATIVES WITH DIFFERENT ORIGINS
We study a spectral problem for an ordinary differential equation with composition of fractional order differentiation operators in Riemann-Liouville and Caputo senses with different origins. We prove that for the proble...
STATISTICAL ANALYSIS OF DISTURBANCE GEOACOUSTIC EMISSIONS IMMEDIATELY PRECEDING THE STRONG EARTHQUAKES IN KAMCHATKA
The results of statistical analysis of perturbations of geoacoustic emission using the method of superposed epoch. It is shown that 45,8% perturbation of geoacoustic emission arise in the daily range of 2,5 to strong ear...
CHARACTERISTICS OF AN ALGORITM FOR NON-STATIONARY POISSON PROCESS ESTIMATION
The properties of the algorithm estimates of parameter of harmonic intensity for nonstationary Poisson process. The computational stability of the algorithm is proved.
THE NEUMANN PROBLEM FOR THE GENERALIZED LAPLACE EQUATION
The existence and uniqueness of the solution of the Neumann problem is proved for the generalized Laplace equation with a fractional derivative in the upper half-plane.
REVERSALS IN THE 6-CELLS CONVECTION DRIVEN
We describe the large-scale model geodynamo, which based on indirect data of inhomogeneities in the density of the Earth’s core. Convection structure is associated with spherical harmonic Y24 , which defines the basic po...