Title: Numerical solution for stochastic point-kinetics equations with sinusoidal reactivity in dynamical system of nuclear reactor

Authors: S. Saha Ray; A. Patra

Addresses: Department of Mathematics, National Institute of Technology, Rourkela-769008, India ' Department of Mathematics, National Institute of Technology, Rourkela-769008, India

Abstract: In this present analysis, the numerical simulation methods are applied to calculate the solution for stochastic point-kinetic equations with sinusoidal reactivity in dynamical system of nuclear reactor. The resulting system of differential equations is solved for each time step-size. Using experimental data, the methods are investigated over initial conditions and with sinusoidal reactivity. The computational results designate that these numerical approximation methods are straightforward, effective and easy for solving stochastic point-kinetic equations.

Keywords: stochastic point-kinetic equations; Euler-Maruyama method; Taylor 1.5 strong order approximation; neutron density; delayed neutron precursor concentrations; sinusoidal reactivity; nuclear reactors; nuclear power; nuclear energy; numerical simulation; reactor dynamics.

DOI: 10.1504/IJNEST.2013.052165

International Journal of Nuclear Energy Science and Technology, 2013 Vol.7 No.3, pp.231 - 242

Received: 25 May 2012
Accepted: 01 Aug 2012
Published online: 20 Sep 2014 *

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