The paper considers models of economic growth and the possibility of modifying a suitable model to find the potential for economic growth for the economy of society. The world global economy is studied, presented in terms of societies of the world, in monetary terms and the growth potential of gross domestic product in relation to capital, labor, technological progress, population and other macroeconomic indicators that affect it. Theoretical and methodological significance lies in the description of a fundamentally new method of modeling, which can be used to assess the potential of economic development, proving the dynamics of the coefficients of elasticity of production factors, and proving the hypothesis of declining economic growth. The developed model effectively estimates the potential for economic growth for any country and can be used as a basis for forecasting indicators of potential capital intensity of production and potential gross domestic product. Regarding the practical significance of the obtained results, it should be noted that all changes and numerical values are supported by real data and are a consequence of economic, political or social phenomena in the economy of the country under consideration. In the further research it is possible to develop this model, adding to it new variables which influence economic growth, to update methodology of finding of coefficients as a result of actions of economic agents, instead of only their exogenous influence on economy. The work has three main sections. The first section contains theoretical aspects of estimating the evolutionary economy in the one-dimensional case, it describes the basic theoretical information about the Solow model and other neoclassical and endogenous models of economic growth. The second section describes the possibilities of the Solow model for estimating economic growth potential and theoretical aspects and derives the mathematical basis for estimating economic growth potential. Also in this section describes the implementation of the mathematical base. The third section comments on the results of modeling, based on which detailed conclusions are formed, which summarize the economic, mathematical, analytical and technical work. The simulation results well illustrate the degree of use of economic potential, as well as the impact of capital, technological progress, investment, natural population movement on the efficiency of the economy in terms of many countries. The developed software (as a product of the digital economy) can be used to further improve the model, taking into account more factors.