New Derivation of the Integro-Differential Equations for Chandrasekhar's X and Y Functions
- 1 June 1968
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 9 (6), 906-908
- https://doi.org/10.1063/1.1664658
Abstract
The X and Y functions of radiative transfer satisfy a system of integro‐differential equations which form the basis of an effective numerical treatment. These integro‐differential equations are derived from the integral equation for the source function and the differential equation for the resolvent.Keywords
This publication has 3 references indexed in Scilit:
- Numerical results for Chandrasekhar's X and Y functions of radiative transferJournal of Quantitative Spectroscopy and Radiative Transfer, 1966
- Numerical results for the auxiliary equation of radiative transferJournal of Quantitative Spectroscopy and Radiative Transfer, 1966
- On a method for obtaining bounds on the eigenvalues of certain integral equationsJournal of Mathematical Analysis and Applications, 1965