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Numerical solutions of stochastic nonlinear point reactor kinetics equations in presence of Newtonian temperature feedback effects
Journal of Computational and Theoretical Transport ( IF 0.7 ) Pub Date : 2019-04-26 , DOI: 10.1080/23324309.2019.1604549
S. Saha Ray 1 , S. Singh 1
Affiliation  

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.



中文翻译:

牛顿温度反馈作用下随机非线性点反应器动力学方程的数值解

本文建立了两种数值近似方法(即Euler-Murayama方法)和1.5强泰勒方法之间的比较。随机点反应器动力学方程由一个Itô随机微分方程(SDE)系统组成,并且使用Euler-Murayama和1.5强泰勒方法在每个时间步长上求解该系统。获得的结果建立了两种方法在存在牛顿温度反馈的情况下求解随机点反应器动力学方程的准确性。

更新日期:2019-04-26
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