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On the Numerical Solution of the Point Reactor Kinetics Equations by Generalized Runge-Kutta Methods

J. Sánchez

Nuclear Science and Engineering

Volume 103 / Number 1 / September 1989 / Pages 94-99


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Generalized Runge-Kutta methods specifically devised for the numerical solution of stiff systems of ordinary differential equations are described. An A-stable method is employed to solve several sample point reactor kinetics problems, explicitly showing the quantities required by the method. The accuracy and speed of calculation as obtained by implementing the method in a microcomputer are found to be acceptable.

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