On some problems of numerical investigation of the quarkonium model with the coulomb and linear potentials

The mathematical statement of boundary problems is formulated for the quark potential QCD model on the basis of Schwinger–Dyson and Bethe–Salpeter equations in the case of the combination of Coulomb and linear potentials. Mathematical statement of problem for renormalization of the Schwinger–Dyson system is considered. Iterative method on the base of continuous analogue of the Newton method is presented for numerical solution of the Bethe–Salpeter equation in the framework of considered approach. Conditions of description of the mass and the leptonic decay constant of pion are discussed.