Solution of a Riemann Hilbert problem for a new expression of Chandrasekhar's H-function in radiative transfer

Details Solution of a Riemann Hilbert problem for a new expression of Chandrasekhar's H-function in radiative transfer Solution of a Riemann Hilbert problem for a new expression of Chandrasekhar's H-function in radiative transfer

Sep 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008ap%26ss.317..119d&link_type=abstract

Astrophysics and Space Science, Volume 317, Issue 1-2, pp. 119-126

Astronomy and Astrophysics

Astrophysics

1

Radiative Transfer, Singular Integral Equation, Riemann&Ndash, Hilbert Problem, Plemelj And Cauchy Integral Formulae, Simpson&Rsquo, S One-Third Rule

Scientific paper

The linear singular integral equation derived from the nonlinear integral equation of Chandrasekhar’s H-function in radiative transfer is considered here to develop a new form of H-function as a solution of a Riemann Hilbert problem using Plemelj and Cauchy integral formulae for complex domain. This new form of H-function is a simple integral of known functions. Forms of H-function both for conservative and nonconservative cases are obtained. Their numerical evaluations are made by Simpson’s one-third rule to arrive at an accuracy to ninth places of decimals.

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