SERIES EXPANSION, ASYMPTOTIC BEHAVIOR AND COMPUTATION OF THE VALUES OF THE SCHWARZSCHILD-MILNE INTEGRALS ARISING IN A RADIATIVE TRANSFER

AYGAR KÜÇÜKEVCİLİOĞLU Y., Bairamov E.

APPLIED AND COMPUTATIONAL MATHEMATICS, cilt.20, sa.2, ss.236-246, 2021 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 20 Sayı: 2
  • Basım Tarihi: 2021
  • Dergi Adı: APPLIED AND COMPUTATIONAL MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.236-246
  • Anahtar Kelimeler: Radiative Transfer, Planck Integral, Exponential Integral, Schwarzschild-Milne Integrals, Uniform Convergence, MULTIELECTRON MOLECULAR INTEGRALS, RECURRENCE RELATIONS, OVERLAP INTEGRALS, SCATTERING
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we investigate the uniform convergence and series expansion of the Schwarzschild-Milne (SM) integrals arising in the study of radiative transfer in a two-dimensional planar-medium. Using the uniform convergence, we study asymptotic behavior of the SM integrals. Hence, knowing the interval of uniform convergency is important for an effective computation, we also give an accurate and efficient algorithm for computing the values of the SM integrals.