Forecasting the Economic State of a Bank on the Basis of Bankruptcy Indicator

Approximate Methods for Solving Differential Equations for Continuous Models of a Sustainable Economy

“…Consider the task of: (7) he approximate solution of (7) will be searched for by the Ritz method [24], according to which we take the eigen functions of the operator as basis functions with the area of definition consisting of continuous on [0,1] and having derivatives up to and including the second order of functions satisfying the conditions Note that the eigenvalue and the corresponding eigen function of operator A have the form Then an approximate solution of (7) will be sought in the form (5), where the unknown coefficients of expansion (5) are defined explicitly as: (8) Let us take as a test example the numerical implementation of the proposed computational scheme for problem (7) values Then equation (7) will take the form: (9) where the right-hand side of equation ( 9) is explicitly specified as a function…”

“…In this connection, it is possible to cite a number of works [4,5], the authors of which conducted research in this area, defined scenarios for the development of territorial economic systems [6]. The crisis aspects of globalization in the development of financial relations require, in the opinion of the authors [7], the development of methods that allow forecasting the dynamics of economic cycles, the model of which uses systems of differential equations. Also the model based on the system of differential equations is used by the authors [8] on the basis of statistical data of the US GDP defined a predictive model linking several economic indicators.…”