ON SOLUTION OF P_2N-1-APPROXIMATION OF NEUTRON TRANSFER EQUATION IN A SPHERE WITH CENTRAL POINT ISOTROPIC SOURCE

Gorelov V.P., Travin V.V.
VANT. Ser.: Mat. Mod. Fiz. Rroc 1989. Вып.3. С. 42-48.

      A complete solution of P_2N-1-approximation of neutron transfer equation is obtained for the central region of a sphere containing an isotropic source at the origin of coordinates. The involved unknown coefficients are suggested to evaluate with the Adamskaya-Godunov method. Divergence of r^-2 even components of the desired vector, divergence of r^-1 odd components are found as compared to known solution, the logarithmic singularity is taken into account.