Analytical and numerical solutions of some integral equations in radiation transport theory

G. Maino, S. Lorenzutta, G. Dattoli, A. Torre, D. Tocci

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Abstract

We discuss some mathematical and computational problems relevant to the solutions of both linear and non-linear integral equations arising in radiation transport. By means of a functional-operator approach, analytic solutions for the FEL (Free Electron Laser) integral equations are found in terms of Bessel-Clifford functions. As for applications of this method to non-linear equations, the same technique allows us to obtain an efficient yet simple algorithm for the numerical solution of the Ambartsumian-Chandrasekhar H-equation corresponding to a Neumann-series expansion. © 1994 Società Italiana di Fisica.
Original languageEnglish
Pages (from-to)1325 - 1338
Number of pages14
JournalNuovo Cimento della Societa Italiana di Fisica D - Condensed Matter, Atomic, Molecular and Chemical Physics, Biophysics
Volume16
Issue number8
DOIs
Publication statusPublished - Aug 1994
Externally publishedYes

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All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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