摘要
大量的实测资料表明,在汇流过程中存在着许多难以预料和控制的不确定性因素。为了更合理的描述汇流过程,建模时应用随机微分方程替代确定性常微分方程。初步探讨了有白噪声输入情况下的线性随机汇流系统,在获得初始条件的随机特性后可以得到汇流模型的解析解和数值解,计算实例表明,在汇流模型建模中引进随机微分方程理论值得深入研究。
Proving by a lot the measured data, There are many unpredictable and uncontrollable factors in the process of flow concentration. The stochastic differential equation is used to replace the ordinary differential equation to describe the process of the flow concentration more reasonable. The linear random flow concentration system with the white noise input is discussed. The analytic and numerical solution of the flow concentration model can be obtained after the randomness of initial condition is solved.
出处
《水科学进展》
EI
CAS
CSCD
北大核心
2005年第5期661-665,共5页
Advances in Water Science
基金
国家自然科学基金资助项目(50309002)~~
关键词
汇流
随机微分方程
I^t0方程
数值解
Aflow concentration
stochastic differential equation
It^0 equation
numerical solution
