Abstract
The neutron transport equation can be expressed in the form of the elementary diffusion equation. The kinetic equation in this form is defined as the kinetic diffusion equation. A derivation of the kinetic diffusion equation in a one-dimensional cylindrical geometry with arbitrary scattering anisotropy and an external source is presented. The principle for obtaining a numerical solution of the equation defined as the kinetic diffusion method is expounded. The physical meaning of the parameters in the equation is illustrated for the example of the numerical determination of the effective boundary condition on the surface of a black cylinder.
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