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基于随机微分方程的汇流计算方法
引用本文:孙颖娜,芮孝芳.基于随机微分方程的汇流计算方法[J].河海大学学报(自然科学版),2006,34(1):28-31.
作者姓名:孙颖娜  芮孝芳
作者单位:河海大学水文水资源与水利工程科学国家重点实验室、河海大学水资源环境学院,江苏,南京,210098;河海大学水文水资源与水利工程科学国家重点实验室、河海大学水资源环境学院,江苏,南京,210098
摘    要:基于随机微分方程,建立了输入具有确定性特征、参数具有随机性特征的线性汇流模型;应用Liouville定理对该模型进行了求解,得到了出口断面出流过程的概率密度,并据此确定了出流过程的均值和方差.结果表明,线性江流模型能够同时给出出流过程的均值及其对均值的离散程度.

关 键 词:随机微分方程  汇流参数  概率密度  汇流模型
文章编号:1000-1980(2006)01-0028-04
收稿时间:2005-03-14
修稿时间:2005-03-14

Confluence calculation method by use of stochastic differential equation
SUN Ying-na,RUI Xiao-fang.Confluence calculation method by use of stochastic differential equation[J].Journal of Hohai University (Natural Sciences ),2006,34(1):28-31.
Authors:SUN Ying-na  RUI Xiao-fang
Institution:State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, College of Water Resouwes and Environment, Hohai University, Nanjing 210098, China
Abstract:A linear confluence model with deterministic input and stochastic parameter was built.The Liouville theorem was used to solve the model.The probability density of outflow process at outlets was obtained,and the mean value and variance of the outflow were further determined.Case study shows that the present model can obtain the mean value of outflow process and its discrete degree.
Keywords:random differential equation  parameter of confluence  probability density  confluence model
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