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.
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.
出处
《河海大学学报（自然科学版）》
CAS
CSCD
北大核心
2006年第1期28-31,共4页
Journal of Hohai University(Natural Sciences)
基金
国家自然科学基金资助项目(50309002)
关键词
随机微分方程
汇流参数
概率密度
汇流模型
random differential equation
parameter of confluence
probability density
confluence model
