Abstract:
For boundary value problems in neutron transport theory, numerical methods are described that are based on the reduction of these problems to systems of nonlinear algebraic equations. Techniques based on the theory of nonlinear positive operators in partially ordered spaces are used to establish major results concerning the existence and uniqueness of solutions and solution-finding methods.
Key words:methods for solving boundary value problems for neutron transport equation, solution methods for nonlinear operator equations, methods of equivalent differences.