The reactor point-kinetics equations: semi-analytical methods versus numerical methods

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Abstract

A comparison is made between semi-analytical methods and numerical methods for solving the reactor point-kinetics equations. These equations form a set of coupled ordinary differential equations that is very stiff. Semi-analytical methods use the specific structure of the point)kinetics equations to calculate approximate solutions at different points in time, while purely numerical methods are developed to solve any type of set of stiff ODEs. The final conclusion is the recommendation of a specific numerical method to solve these equations since it outperforms all other methods, both in accuracy and in computer time.

Details

Original languageEnglish
Title of host publicationThe reactor point-kinetics equations: semi-analytical methods versus numerical methods
Place of PublicationParis
Publication statusPublished - 11 Jul 2005
EventProceedings of the 17th IMACS World Congress - Novotel Tour Eiffel, Paris, France
Duration: 11 Jul 200515 Jul 2005

Conference

ConferenceProceedings of the 17th IMACS World Congress
CountryFrance
CityNovotel Tour Eiffel, Paris
Period2005-07-112005-07-15

Keywords

  • reactor point-kinetics, stiff, semi-analytical, numerical

ID: 130060