ASYMPTOTICALLY EXACT BOUNDARY-CONDITIONS FOR THE P(N) EQUATIONS

It was recently demonstrated that in planar geometry, the classic P(N) equations are an asymptotic limit of the transport equation. A corres ponding boundary layer analysis established the asymptotically consist ent boundary conditions. These boundary conditions were evaluated vari ationally, and it was conjectured that these variational approximation s are quite accurate for all values of N. Here, we evaluate these boun dary conditions exactly (numerically) and show that the previous varia tional results are indeed accurate to a few percent. The exact results were computed using numerical methods previously developed for solvin g Chandrasekhar's H equations.