An Interpolation Method for the Transport Theory and Its Application in Fusion Neutronics Analysis

An interpolation method is presented for the solution of the Boltzmann transport equation. The method is based on a flux synthesis technique using two reference-point solutions. The equation for the interpolated solution results in a Volterra integral equation, which warrants a unique solution. As an application of the present method, the tritium breeding ratio is calculated for a typical deuterium-tritium fusion reactor system. The result is compared to that of a variational technique.