摘要
灰色系统理论给出了一种GM( 2 ,1 )模型 ,文献 [1 ]曾针对一个数值例子利用GM( 2 ,1 )模型给出了计算过程 ,得到了良好的拟合效果 .但在文献 [1 ]中对微分方程初值的选取缺乏可操作的规律性 .本文利用最小二乘原则给出一种方法 ,使微分方程的系统响应方程得以确定 .数值试验表明 ,这是一种有效的方法 ,其误差比文献 [1 ]中的误差小 .
A GM(2,1) model has been given using the grey system theory .A 2_order ordinary differential equation (ODE) has been established for given data using the data generation.A numerical example is given in using GM(2,1) with good results.However,there is no law in paper for choosing the initial value of ODE.A method is therefore proposed to solve the problem using the method of minimum squares,and the system response equation of GM(2,1) is then obtained.The numerical results show that this is an effective way of solving GM(2,1) and its error is smaller than that in paper .
出处
《哈尔滨工程大学学报》
EI
CAS
CSCD
2001年第4期64-66,1,共3页
Journal of Harbin Engineering University
