Tsyhanchuk R. Modeling of Periodic Processes in Еconomy

Thesis deals with solving of a new important task for the Ukraine’s economy of modeling periodic processes in the economics. The concept of periodic processes modeling in economics was developed based on the theoretical provisions of mathematical and system analysis, theory of economic cycles, economic theory and taking into account the interrelation between the periodic processes and the strategy of economic objects. The methodical approach to solving the tasks of periodic processes modeling in the economics was improved, which allows to improve the accuracy of the study of economic systems by considering the economic processes at discrete moments of time, and not as continuous ones. The rational ways for approximating the differential equations of the economic state to the finite difference are developed and the differential equations of the high accuracy are obtained, which allow the price of minor complications of the calculation formulas to reduce the total number of calculated nodes and, consequently, ultimately reduce the amount of computations. The approach to the study of periodic processes in the economy based on the construction of mathematical models and methods of their analysis was developed and presented, the introduction of which contributes to the growth of the economic efficiency of the functioning of economic objects.