SOLUTION OF THE TIME-DEPENDENT MONOENERGETIC NEUTRON TRANSPORT EQUATION IN A SEMI-INFINITE MEDIUM.

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

The multiple collision technique, also known as the method of successive approximation, is used in conjunction with generalized functions and the principle of invariance for reflection to solve the monoenergetic time-dependent neutron transport equation ina semi-infinite medium. General plane geometry with azimuthal dependence and anistropic scattering expressed as a truncated series of spherical harmonics is assumed.

Original languageEnglish (US)
Pages (from-to)103-122
Number of pages20
JournalTransport Theory and Statistical Physics
Volume7
Issue number3
StatePublished - 1978
Externally publishedYes

Fingerprint

Neutron Transport
Successive Approximation
Spherical Harmonics
spherical harmonics
Invariance
Generalized Functions
Transport Equation
invariance
Neutrons
Collision
Scattering
mathematics
neutrons
collisions
Series
Geometry
geometry
approximation
scattering
time

ASJC Scopus subject areas

  • Applied Mathematics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics

Cite this

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title = "SOLUTION OF THE TIME-DEPENDENT MONOENERGETIC NEUTRON TRANSPORT EQUATION IN A SEMI-INFINITE MEDIUM.",
abstract = "The multiple collision technique, also known as the method of successive approximation, is used in conjunction with generalized functions and the principle of invariance for reflection to solve the monoenergetic time-dependent neutron transport equation ina semi-infinite medium. General plane geometry with azimuthal dependence and anistropic scattering expressed as a truncated series of spherical harmonics is assumed.",
author = "Ganapol, {Barry D}",
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AB - The multiple collision technique, also known as the method of successive approximation, is used in conjunction with generalized functions and the principle of invariance for reflection to solve the monoenergetic time-dependent neutron transport equation ina semi-infinite medium. General plane geometry with azimuthal dependence and anistropic scattering expressed as a truncated series of spherical harmonics is assumed.

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