Two-body relativistic equations for the bound-state problem with coulomb and linear potentials

The recent investigations of the meson spectroscopy are often based on the models considering mesons as quark-antiquark bound states. These models are described by three-dimensional relativistic equations with various generalizations of Coulomb and linear potentials in the momentum space. Algorithms and codes are developed for numerical investigations of these equations. The generalized Continuous Analog of Newton's method is used. The numerical results are presented.