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New approach to solving the multimode kinetics equations

Thesis/Dissertation ·
DOI:https://doi.org/10.2172/4673669· OSTI ID:4673669
 [1]
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
An investigation is made of a new approach to solving a set of equations (the multimode kinetics equations) which have been obtained by the application of time synthesis to the multigroup neutron diffusion equations. The multimode kinetics equations are cast into the form of the point kinetic equations and successfully solved utilizing the application of an analytic inversion of the matrix [I-6A.| to both the Pade (2,0) and "modified" Crank-Nicholson approximations to exp[Δt[A] ].
Research Organization:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Dept. of Nuclear Engineering
Sponsoring Organization:
US Atomic Energy Commission (AEC)
NSA Number:
NSA-26-032940
OSTI ID:
4673669
Report Number(s):
COO--3052-2; MITNE--137
Country of Publication:
United States
Language:
English