Mathematical Models and Computer Simulations Pub Date : 2021-04-04 , DOI: 10.1134/s2070048221010166 V. G. Zadorozhniy , M. E. Semenov , N. I. Sel’vesyuk , I. I. Ulshin , V. S. Nozhkin
Abstract
This paper proposes a new stochastic transport model formalized in differential equations with random parameters. Explicit formulas for the mathematical expectation and the second-moment function for solving the corresponding equations are given. The estimation of the influence of random factors on the system, in the case of replacing the random coefficient of the equation by its mathematical expectation, is determined. An example with the Gaussian distribution of the random coefficients is also presented and discusser. This paper shows that the proposed model is applicable to the description of heat and moisture transfer processes in the surface layer of the atmosphere.
中文翻译:
随机转移模型系统解的统计特征
摘要
本文提出了一种新的随机运输模型,该模型以带随机参数的微分方程形式化。给出了数学期望的显式公式和求解相应方程的第二矩函数。在用数学期望代替方程的随机系数的情况下,确定对随机因素对系统的影响的估计。还给出并讨论了具有随机系数的高斯分布的示例。本文表明,所提出的模型适用于描述大气表层的热量和水分传递过程。