Vol 1, No 10 (2013)
- Year: 2013
- Published: 15.05.2013
- Articles: 10
- URL: https://ogarev-online.ru/2311-2468/issue/view/19590
Full Issue
Numerical Modelling of Flat Sound Waves Distribution in a Rest Environment
Abstract
The article considers the process of flat sound waves (small perturbance) distribution in the rest environment. Constructed on the basis of divergent difference schemes software for the calculation of the velocity and pressure caused by the propagation of sound waves developed.
Economics Complex Systems: Solow Model-Based Studies
Abstract
The article considers the Solow model to study the economic growth phenomenon. In this connection, the author reveals the factors that have an impact on the continuous economic growth under the conditions of a sustainable economy. The author also studies the interdependence of economic growth rate and capital investment volume.
Construction of Phase Portraits of Ordinary Differential Equations Systems
Abstract
The article describes a web application on the construction of phase portraits of ordinary differential equations systems on the plane. The author uses the Runge-Kutta method of 4th order for the Cauchy problem numerical solution. In this connection, the examples of phase portraits are presented.
Visualization of First Boundary Value Problem Solutions for the Conservative Autonomous Duffing Equation by Using Methods of the Ramification Theory
Abstract
The article provides a visualization of the first boundary value problem solutions for the conservative autonomous Duffing equation by using the method of series solution, the shooting method, and quasilinearization. Considering the study results, it is draw a conclusion about the approximate analytical solutions.
Computer Simulation of Viscous Gas Flows
Abstract
The article considers equations to describe fluid and gas motions. Particularly, the authors have added formulas for viscous fluid flows computing to the code of fluid mechanics computational program cfd_2d developed by the Chair of Applied Mathematics. The article also includes an analysis of typical problems.
Industry Economic Growth of the Republic of Mordovia: a Solow Model-Based Analysis
Abstract
The article considers the Solow economic growth model. Particularly, the author checks the validity of equilibrium growth condition of the Republic of Mordovia’s industry. Considering the analysis results, the author suggests possible options for bringing Republic of Mordovia’s industry to the equilibrium growth.