Grey parameters solving method improvement of GM (1,1) model and its application in seacoast evolution forecast

摘要：

The coastline configuration is under the influence of river runoff,sediment,ocean dynamic,and many other factors,these factors are difficult to quantify and express with a clear mathematical model.Now we attempt to investigate it by using the theory of grey modeling.This paper starts from the principle of equal interval grey GM(1,1) model,deduces the response expressions of whitenization model of unequal interval GM(1,1) model,and fit the whitenization response expressions with the Accumulated Generating Operation(AGO) series.Now,on the solution of Grey parameters,it changes from the problem of linear least-square into a nonlinear least-square problem.And then we solve grey parameters directly recur to the function of non-linear least-square method in MATLAB.This method effectively avoids the errors caused by the time interval unequal,the background value structured unreasonable,etc.In the application of seacoast evolution forecast,the forecast precision has been greatly enhanced.

关键词： grey model background value grey parameter seacoast evolution

作者: Shuqin Zhang Yanguo Fan Xiuling Sun Xiangyu Li Lei Zhou

作者单位: Institute of Geo-resource and Information,China University of Petroleum,Dongying,China

会议类型: 国际会议

会议名称: The 3rd International Conference on Environmental and Engineering Geophysics(第三届环境与工程地球物理国际会议)

会议地点: 武汉

会议语种:英文

页码: 540-543

在线出版日期: 2008-06-15（万方平台首次上网日期，不代表论文的发表时间）