Title: Numerical solution of simplified stochastic point kinetics equation involving step and pulse reactivity

Authors: Ashrita Patra; Santanu Saha Ray

Addresses: Department of Mathematics, School of Applied Sciences, KIIT University, Bhubaneswar 751024, India ' Department of Mathematics, National Institute of Technology, Rourkela 769008, India

Abstract: In the present paper, the numerical solutions of simplified stochastic point kinetic equations have been established in the field of nuclear reactor system. The stochastic behaviour of a point reactor is modelled by means of a system of Itô stochastic differential equations. The resulting system of Itô stochastic differential equations is solved over each time-step size. The obtained numerical results are verified by considering different experimental data with step and pulse reactivities. Here, the computational results explicitly show that the numerical methods are efficient and suitable for solving simplified stochastic point kinetic equations.

Keywords: Euler-Maruyama method; Taylor 1.5 strong order method; neutron density; neutron precursors; step reactivity; pulse reactivity; stochastic point kinetics; nuclear reactors; nuclear energy; nuclear power; point reactors; modelling; stochastic differential equations.

DOI: 10.1504/IJNEST.2016.081994

International Journal of Nuclear Energy Science and Technology, 2016 Vol.10 No.4, pp.313 - 322

Received: 26 May 2016
Accepted: 12 Sep 2016
Published online: 31 Jan 2017 *

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