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Faddeev equations in configuration space for three-atom scattering processes that  have previously b een formulated in integral form allowing for additive and  nonadditive forces, are now examined in terms of their numerical prop erties for  a “toy-model” case. The numerical implementation is based on a sp ectral decomp  osition in terms of Chebyshev p olynomials. The potential for high accuracy of  this method, of the order of 6 to 8 significant figures is one of the main  motivations for the present investigation.The ob ject of the equations are  T-functions, that are the product of wave functions times  potentials, that decay to zero in all directions. The driving and coupling terms  are based on the two-body t-matrices, which describe the  two-body correlations in each arrangement. The preferred form for b oth the  driving term and the integral kernel terms is of a hybrid nature, the  x-dependence is expanded into Chebyshev p olynomials, and  the y-dependence is given in terms of a Fourier series. The  numerical prop erties of the driving term are examined in detail, and the  integral kernel is left for a subsequent analysis

Steps for the Solution of Faddeev Integral Equations in Configuration Space