【摘要】 针对河流水环境中信息的不确定性问题,将河流水流速以及弥散系数和衰减系数等参数视作未确知参量,并以灰参数的形式表示,运用灰色理论建立了河流一维水质灰色微分模型.在数值求解过程中,对一维河流水污染的灰色模型求解过程中有限差分法的截断误差进行了修正,得到了具有一种特殊结构的数值模型,并给出了求解方法.通过与解析解和没有修正的灰色解进行对比,表明没有修正的截断误差是不能忽略的.修正后的灰色数值解的灰带更窄而且更加合理.更多还原

【Abstract】 In view of the the uncertainty problem in river pollution,velocity and dispersion coefficient and attenuation in river are considered as uncertainty parameters and expressed as gray parameters.One dimensional gray numerical water quality model is built according to gray theory.An especial structural model is obtained through corrected truncation errors of finite difference and the gray numerical arithmetic solving this kind model is given.Comparison with the analytical solution and uncorrected solution,uncorrected truncation errors can not be negligible and the gray scope of corrected gray numerical solution becomes little and reasonable.The study of this paper provides an more reasonable approach for the prediction and prevention of river pollution.更多还原