Analiza dynamiki modeli wzrostu gospodarczego za pomocą środowiska obliczeniowego Mathematica
The Analysis of the Dynamics of Economic Growth Models with Mathematica
Author(s): Henryk ZawadzkiSubject(s): Economy
Published by: Wydawnictwo Uniwersytetu Ekonomicznego w Krakowie
Keywords: Mathematica; differential equations; economic growth models; optimal control
Summary/Abstract: Differential equations and optimal control theory are the basic tools of the mathematical theory of economic growth. The aim of this paper is to show (using the example of the Mankiw-Romer-Weil and Lucas-Uzawa growth models) some capabilities of Mathematica in the symbolic and numerical solving of differential equations, calculating optimal values of integral functional (discounted lifetime utility) when only numerical optimal solutions are known, the symbolic differentiation of solutions given in terms of hypergeometric Gauss functions and the graphical presentation of solutions to differential equations.
Journal: Zeszyty Naukowe Uniwersytetu Ekonomicznego w Krakowie
- Issue Year: 940/2015
- Issue No: 04
- Page Range: 59-69
- Page Count: 11