Abstract
The issues of numerical modeling of the gross product, based on the knowledge of the resources and capabilities of the region, is still an urgent problem. The main task of the work was to create a model of the gross regional product based on the finite-time scheme of the integro-differential equation. The resulting equation will determine the growth of the gross regional product based on changes in production factors: fixed assets, natural and labor resources. The main result in the presented work is obtaining a finite-time model of the equation and its verification. When obtaining the forecast value of the gross regional product, the values of the gross regional product and the main factors of production of the previous two years are used. The considered finite-difference analogue of the equation can become another tool for forecasting the gross regional product in the short term.