Stochastic approach to cauchy system of Chandrasekhar's planetary problem with specular reflector

Details Stochastic approach to cauchy system of Chandrasekhar's planetary problem with specular reflector Stochastic approach to cauchy system of Chandrasekhar's planetary problem with specular reflector

Apr 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988ap%26ss.143..163u&link_type=abstract

Astrophysics and Space Science, Volume 143, Issue 1, pp.163-173

Astronomy and Astrophysics

Astrophysics

1

Scientific paper

In the present paper, assuming that the radiative transfer in turbed slab bounded below by the imperfect specular reflector is the Markovian process, and starting with the modified Chapman-Kolmogorov equation for a uniform monodirectional illumination, we obtained the Riccati-type of the nonlinear integro-differential equation governing the angular distribution of the radiation emergent from the slab. In other words, without solving the transfer equation, the two-point boundary value problem is reduced to an initial-value problem, by which the numerical simulation is readily performed with the aid of the high-speed digital computer.

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