Publication Type : Journal Article
Publisher : Journal of Computational and Theoretical Transport
Source : Journal of Computational and Theoretical Transport, 48(2), pp. 47-57. (2017)
Url : https://www.tandfonline.com/doi/abs/10.1080/23324309.2019.1604549
Keywords : Stochastic point reactor kinetics equations, Euler-Maruyama method, Order 1.5 strong Taylor method, Neutron population
Campus : Chennai
School : School of Engineering
Department : Mathematics
Year : 2017
Abstract : A comparison between two numerical approximation methods i.e., Euler-Murayama and 1.5 strong Taylor methods have been established in this article. The stochastic point reactor kinetics equations consist of a system of Itô stochastic differential equations (SDEs) and this system is solved over each time-step size using Euler-Murayama and 1.5 strong Taylor methods. The obtained results establish the accuracy of both the methods in solving the stochastic point reactor kinetics equations in presence of Newtonian temperature feedback.
Cite this Research Publication : S. Saha Ray, S. Singh, “Numerical solutions of stochastic nonlinear point reactor kinetics equations in presence of Newtonian temperature feedback effects”, Journal of Computational and Theoretical Transport, 48(2), pp. 47-57. (2017)