摘要
为提高GM(1,1)模型的预测精度,提出了应用三阶和四阶龙格库塔法对GM(1,1)模型的建模过程进行优化.给出了优化模型,并讨论了两种优化模型中发展系数的变化对其精度的影响.实例表明,基于三阶和四阶龙格库塔法所建立的GM(1,1)模型,可以有效地提高模型的预测精度和适用性.
In order to improve the prediction accuracy of GM （1,1） model, the third and the fourth order Runge-Kutta method is presented to optimize GM （1,1） modeling process. Provided optimal model and discussed the influence of accuracy between two optimal mod- els along with the change of development. Examples indicated, the results show that the GM （1,1） model based on the third-order and the fourth-order Runge-Kutta method can effectively improve the prediction accuracy and applicability.
出处
《数学的实践与认识》
北大核心
2016年第7期168-173,共6页
Mathematics in Practice and Theory
关键词
GM(1
1)模型
三阶龙格库塔法
四阶龙格库塔法
预测精度
GM （1,1） model
third-order Runge-Kutta method
fourth-order Runge-Kutta method
prediction accuracy
