Multigroup transport equations with nondiagonal cross-section matrices are studied using the Wiener-Hopf method. Formulas for the solution and the exit distribution are given in terms of the factorization of the symbol of the Wiener-Hopf equation. Unlike the formulas for a diagonal cross-section matrix, these formulas involve derivatives of the H-functions. For the case of two groups, the H-functions are computed explicitly.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics