| GM(1,1)建模方法的改进及其应用 |
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| 引用本文： | 赵梅娟,王钟羡. GM(1,1)建模方法的改进及其应用[J]. 数学的实践与认识, 2006, 36(11): 110-116 |
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| 作者姓名： | 赵梅娟 王钟羡 |
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| 作者单位： | 江苏大学理学院,江苏,镇江,212013 |
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| 基金项目： | 江苏省高校自然科学基金 |
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| 摘 要： | 应用微分方程的两种数值解法估计GM(1,1)模型中的待辩参数a、u,并对模型的边界条件做了改进,建立了灰微分方程的时间响应表达式,讨论了由此建立的GM(1,1)模型的适用范围和预测精度.通过实例的分析计算,证明改进的模型具有良好的预测精度,满足工程实际需要,拓广了GM(1,1)模型的适用范围.
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| 关 键 词： | GM(1,1)模型 建模 数值解法 改进 断裂韧度 |
| 修稿时间： | 2004-11-01 |
The Improvement of Modeling Method of GM (1,1) and Its Application |
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| ZHAO Mei-juan,WANG Zhong-xian. The Improvement of Modeling Method of GM (1,1) and Its Application[J]. Mathematics in Practice and Theory, 2006, 36(11): 110-116 |
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| Authors: | ZHAO Mei-juan WANG Zhong-xian |
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| Abstract: | Apply two kind of numerical solution method of differential equation to estimate the parameter a and u in the GM(1,1) model,established the time response expression of grey differential equation,and improvement was done on the model′s boundary condition,the application domain and the prediction precision of the consequent established GM(1,1) model are discussed.The results of cases prove that the proved model is reliable,and the precision of fit and prediction can meet engineering need.So it extend the application domain of GM(1,1) model. |
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| Keywords: | GM(1 1) model modeling numerical solution method improvement fracture toughness |
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