The article presents a project of the capacitor in the
Yang-Mills theory. Model capacitor represents the
equipotential surfaces separated by a space. To
describe the mechanism of condensation
chromodynamics field used numerical models
developed based on an average of the Yang-Mills
theory. In the present study, we used eight-scalar
component model that in the linear case is divided
into two groups containing three or five fields
respectively. In contrast to classical electrodynamics,
a static model of the Yang-Mills is not divided into
independent equations because of the nonlinearity of
the model itself. However, in the case of a linear
theory separation is possible. It is shown that in this
particular case, the Yang-Mills theory is reduced to
Poisson theory, which describes the electrostatic and
magnetostatic phenomena. In the present work it is
shown that in a certain region of the parameters of the
capacitor of the Yang-Mills theory on the functional
properties of the charge accumulation and retention of
the field is similar to the capacitor of the electrostatic
field or a magnet in magnetostatics. This means that
in nature there are two types of charges, which are
sources of macroscopic Yang-Mills field, which are
similar to the properties of electric and magnetic
charges in the Poisson theory. It is shown that in
Yang-Mills only one type of charge may be
associated with the distribution density of the
substance, while another type of charge depends on
the charge distribution of the first type. This allows us
to provide an explanation for the lack of symmetry
between electric and magnetic charges
This work deals with the numerical method of solution of integral equation with the kernel, which has the first order singularities by two variables. The solution is approximated by piecewise linear functions by every variable. The coefficients are
determined by the collocation method. The singular integrals of basic functions are calculated exact