Home / Store / Journals / Electronic Articles / Nuclear Science and Engineering / Volume 52 / Number 4
Barry D. Ganapol, Lawrence M. Grossman
Nuclear Science and Engineering
Volume 52 / Number 4 / December 1973 / Pages 454-460
Format:electronic copy (download)
The neutron transport equation for a localized isotropic burst of neutrons in plane geometry can be represented as an infinite set of equations. Kholin has solved these equations, expressing the neutron density in terms of an infinite series of integrals. These integrals are evaluated numerically by either a recursion relation or a Chebyshev-Gauss quadrature approximation. The neutron density found by this method serves as an analytic “benchmark” to which other solutions to the time-dependent transport equation can be compared. A new closed form of the solution is also derived.
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