APPLICATION OF GREENS'S FUNCTION ANALYSIS TO THE SOLUTION OF THE NEUTRON DIFFUSION EQUATION IN HETEROGENEOUS SYSTEMS,

Abstract

The general time-dependent, one-velocity neutron diffusion equation is formulated in generalized three-dimensional coordinates for bare heterogeneous systems containing N very thin heterogeneities. This diffusion equation is written first in the Heaviside notation and subsequently transformed to a Dirac delta function representation. Green's function integral techniques are then applied to determine the solution. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1969
Accession Number
AD0692828

Entities

People

  • G. Lansing Blackshaw
  • Norman E. Banks

Organizations

  • Ballistic Research Laboratory

Tags

DTIC Thesaurus Topics

  • Complex Variables
  • Delta Functions
  • Diffusion
  • Equations
  • Functions (Mathematics)
  • Heterogeneity
  • Integrals
  • Mathematical Analysis
  • Mathematics
  • Notation
  • Physical Properties
  • Three Dimensional

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis