4 citations · 11 across the 5 of their papers we have counts for
5 papers
Some Aspects of the Numerical Analysis of a Fractional Duffing Oscillator with a Fractional Variable Order Derivative of the Riemann-Liouville Type
Valentine Kim, Roman Parovik
In this paper, we consider some aspects of the numerical analysis of the mathematical model of fractional Duffing with a derivative of variable fractional order of the Riemann-Liou…
Mathematical Model of the Stick-Slip Effect for Describing the "Drumbeat" Seismic Regime During the Eruption of the Kizimen Volcano in Kamchatka
R. I. Parovik, A. A. Shakirova, P. P. Firstov
During the eruption of the Kizimen volcano in 2010-2013. There was a uniform squeezing of the viscous lava flow. Simultaneously with its movement, earthquakes with an unusual quasi…
A Computer Program for the Numerical Analysis of Economic Cycles Within the Framework of the Dubovsky Generalized Model
Danil Makarov, Roman Parovik
The article proposes a computer program for calculating economic crises according to the generalized mathematical model of S.V. Dubovsky. This model is represented by a system of o…
Research of the hereditary dynamic Riccati system with modification fractional differential operator of Gerasimov-Caputo
Dmitriy Tverdyi, Roman Parovik
In this paper, we study the Cauchy problem for the Riccati differential equation with constant coefficients and a modified Gerasimov-Caputo type fractional differential operator of…
Numerical Modeling of Kondratyev's Long Waves Taking into Account Heredity
Danil Makarov, Roman Parovik
The paper proposes a new mathematical model of economic cycles and crises, which generalizes the well-known model of Dubovsky S.V. The novelty of the proposed model lies in taking…