Uniform convergence and numerical computation of the Hubbell radiation rectangular source integral

BAYRAM E., ÖZALP N.

RADIATION PHYSICS AND CHEMISTRY, vol.80, no.12, pp.1312-1315, 2011 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 80 Issue: 12
  • Publication Date: 2011
  • Doi Number: 10.1016/j.radphyschem.2011.07.006
  • Journal Name: RADIATION PHYSICS AND CHEMISTRY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1312-1315
  • Keywords: Radiation rectangular source integral, Radiational field, Uniform convergence, Computational algorithm, BINOMIAL COEFFICIENTS
  • Ankara University Affiliated: Yes

Abstract

In this paper, we investigate uniform convergence of the improper Hubbell radiation rectangular source (HRS) integral H(a,b). We prove that HRS integral H(a,b) is uniform convergent in the domain D = {(a,b) is an element of [0,A] x [0,infinity)} for any positive finite number A. Then we give an accurate and efficient computation algorithm for the HRS integral. (C) 2011 Elsevier Ltd. All rights reserved.