SEMI-ANALYTIC SOLUTION TO THE TRANSPORT EQUATION IN SPHERICAL GEOMETRY.

A. Dubi; Y. S. Horowitz

doi:10.13182/nse78-a15194

SEMI-ANALYTIC SOLUTION TO THE TRANSPORT EQUATION IN SPHERICAL GEOMETRY.

A. Dubi, Y. S. Horowitz

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

A semi-analytic method of solving the neutron transport problem for a homogeneous scattering and absorbing sphere with an isotropic central point source is described. The method consists essentially of a modified Neumann series approach in which the Neumann series is constructed for the difference between the finite problem and the closely related problem in infinite geometry.

Original language	English
Pages (from-to)	118-146
Number of pages	29
Journal	Nuclear Science and Engineering
Volume	66
Issue number	1
DOIs	https://doi.org/10.13182/nse78-a15194
State	Published - 1 Jan 1978

ASJC Scopus subject areas

Nuclear Energy and Engineering

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10.13182/nse78-a15194

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title = "SEMI-ANALYTIC SOLUTION TO THE TRANSPORT EQUATION IN SPHERICAL GEOMETRY.",

abstract = "A semi-analytic method of solving the neutron transport problem for a homogeneous scattering and absorbing sphere with an isotropic central point source is described. The method consists essentially of a modified Neumann series approach in which the Neumann series is constructed for the difference between the finite problem and the closely related problem in infinite geometry.",

author = "A. Dubi and Horowitz, {Y. S.}",

year = "1978",

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doi = "10.13182/nse78-a15194",

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AU - Horowitz, Y. S.

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Y1 - 1978/1/1

N2 - A semi-analytic method of solving the neutron transport problem for a homogeneous scattering and absorbing sphere with an isotropic central point source is described. The method consists essentially of a modified Neumann series approach in which the Neumann series is constructed for the difference between the finite problem and the closely related problem in infinite geometry.

AB - A semi-analytic method of solving the neutron transport problem for a homogeneous scattering and absorbing sphere with an isotropic central point source is described. The method consists essentially of a modified Neumann series approach in which the Neumann series is constructed for the difference between the finite problem and the closely related problem in infinite geometry.

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U2 - 10.13182/nse78-a15194

DO - 10.13182/nse78-a15194

M3 - Article

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JO - Nuclear Science and Engineering

JF - Nuclear Science and Engineering

IS - 1

ER -

SEMI-ANALYTIC SOLUTION TO THE TRANSPORT EQUATION IN SPHERICAL GEOMETRY.

Abstract

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