A new computational scheme for solving the bound state configuration-s
pace Faddeev equations is applied. The scheme is based on the spline-a
pproximation and the adiabatic limit of Faddeev equations. An ordering
of variables being in agreement with the limit was chosen. As a resul
t the matrix of the eigenvalue problem has a sparse block structure. C
alculations of the bound states of mu pp, mu dd, mu tt mesic molecules
and <(p)over bar dd>, <(p)over bar tt> antiprotonic ones, were perfor
med. To check the method, calculations of the binding energies for suc
h systems as the positronium ion Ps(-), H-3 and He-3 were carried out.
The results are compared with the best results of other authors.