Open AccessRevisiting the Rosenbrock numerical solutions of the reactor point kinetics equation with numerous examples
Author(s) -
Xueming Yang,
Tatjana Jevremović
Publication year - 2009
Publication title -
nuclear technology and radiation protection
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.31
H-Index - 16
eISSN - 1452-8185
pISSN - 1451-3994
DOI - 10.2298/ntrp0901003y
Subject(s) - benchmark (surveying) , fortran , point (geometry) , computer science , kinetics , mathematics , feature (linguistics) , character (mathematics) , reactivity (psychology) , algorithm , physics , programming language , geometry , medicine , linguistics , philosophy , alternative medicine , geodesy , pathology , quantum mechanics , geography
The fourth order Rosenbrock method with an automatic step size control feature was described and applied to solve the reactor point kinetics equations. A FORTRAN 90 program was developed to test the computational speed and algorithm accuracy. From the results of various benchmark tests with different types of reactivity insertions, the Rosenbrock method shows high accuracy, high efficiency and stable character of the solution