Solution of a time-dependent equation of transfer by the F(n)-method

Details Solution of a time-dependent equation of transfer by the F(n)-method Solution of a time-dependent equation of transfer by the F(n)-method

Oct 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986ap%26ss.126...51k&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 126, no. 1, Oct. 1986, p. 51-57.

Astronomy and Astrophysics

Astrophysics

3

Astrophysics, Atmospheric Scattering, Radiative Transfer, Time Dependence, Atmospheric Stratification, Integral Equations, Laplace Transformation

Scientific paper

A solution of the time-dependent transfer equation for a finite, plane-parallel, nonradiating, and isotropically-scattering atmosphere of arbitrary stratification is presented. The method uses the orthogonality properties of the eigenfunctions introduced by Case (1960), Bowden (1963), and Bowden and Williams (1964) in solving the neutron transport problem to convert the Laplace-transformed time-dependent equation of transfer to singular integral equations. Then, the F(n)-method of Siewert and Benoist (1979) is used to solve these singular integral equations.

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