Masters Theses

Abstract

"A method, called the higher mode synthesis method, for the solution of the two-dimensional neutron diffusion equation is developed. In this method, the two-dimensional eigenfunction is expanded in terms of one-dimensional fundamental and higher eigenfunctions. A substitute, weight, and integration procedure is applied and the two-dimensional equation is reduced to a one-dimensional equation in terms of expansion coefficients. The expansion coefficients are combined with the trial functions in order to obtain the two-dimensional eigenfunction. This procedure results in a significant reduction of computation time as compared with standard iteration methods"--Abstract, page ii.

Advisor(s)

Edwards, D. R.

Committee Member(s)

Tsoulfanidis, Nicholas, 1938-
Winrich, Lonny B.

Department(s)

Nuclear Engineering and Radiation Science

Degree Name

M.S. in Nuclear Engineering

Sponsor(s)

U.S. Atomic Energy Commission

Publisher

University of Missouri--Rolla

Publication Date

1969

Pagination

vii, 113 pages

Rights

© 1969 illiam Ray Heldenbrand, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Subject Headings

Heat equation -- Numerical solutions
Neutron transport theory
Neutrons -- Scattering

Thesis Number

T 2237

Print OCLC #

6007524

Electronic OCLC #

806965100

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