The singular eigenfunction analysis of the third form transport equation using half-range orthogonality relations: the half-space problems

Gulecyuz, MC; Kaskas, A; Tezcan, C

doi:10.1016/s0022-4073(00)00119-9

The singular eigenfunction analysis of the third form transport equation using half-range orthogonality relations: the half-space problems

Gulecyuz M., Kaskas A., Tezcan C.

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, cilt.70, sa.1, ss.55-66, 2001 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 70 Sayı: 1
Basım Tarihi: 2001
Doi Numarası: 10.1016/s0022-4073(00)00119-9
Dergi Adı: JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.55-66
Ankara Üniversitesi Adresli: Hayır

Özet

The third form transport equation is solved using the infinite medium Green's functions in terms of the singular eigenfunctions of the method of elementary solutions and their half-range orthogonality relations. For simplicity, we consider only the Fredholm equation of the first kind and obtain the solution of the two problems for isotropic scattering: (i) the albedo problem for a source free half-space and (ii) the extrapolation length for the Milne problem. The convergence of the numerical results is fast as in C-N method and the analytical expressions are simple for solving numerically. (C) 2001 Elsevier Science Ltd. All rights reserved.