Marshak boundary condition recurrence formulae
type: Item
instance of: scholarly article
title: Marshak boundary condition recurrence formulae
zbMATH Open document ID: 0881.45009
DOI: 10.1007/PL00001466
author: Flemming M. B. Andersen
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 1998-02-22T00:00:00Z
review text: The intensity \(i(x,\mu)\) is expanded into a sum \[ i(x,\mu) =\sum^N_{m= 0} {2m+1 \over 4\pi}P_m(\mu) \psi_m(x), \tag{1} \] where \(P_m(\mu)\) are Legendre polynomials. Substituting (1) into the corresponding integral equation the author deduces a recurrence formula. Here \(N\) is the order of approximation.
Mathematics Subject Classification ID: 45K05
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 1059772
zbMATH Keywords: Marshak boundary condition
zbMATH Keywords: thermal radiative heat transport
zbMATH Keywords: intensity
zbMATH Keywords: Legendre polynomials
zbMATH Keywords: integral equation
zbMATH Keywords: recurrence formula
reviewed by: Lev A. Sakhnovich
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1059772