The Optimized White Differential Equation Based on the Original Grey Differential Equation

This paper starting from the original grey differential equations, through finding the relationship between the raw data and the derivative of its , constructed a new white differential equation which equal to the original grey differential equation, at the same time, getting the new GM(1,1)model wh...

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Bibliographic Details
Published inInternational Journal of Education and Management Engineering Vol. 1; no. 6; pp. 44 - 50
Main Authors ZHOU, Rui, LI, Ren-guo, CHEN, Yao
Format Journal Article
LanguageEnglish
Published Hong Kong Modern Education and Computer Science Press 29.12.2011
Subjects
Differential equations
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Summary:This paper starting from the original grey differential equations, through finding the relationship between the raw data and the derivative of its , constructed a new white differential equation which equal to the original grey differential equation, at the same time, getting the new GM(1,1)model which closer to the changes of data. Through the modeling and prediction of the standard index series, this model not only adapts to low growth index series, but also adapts to high-growth index series, and the simulation accuracy and prediction accuracy are high.
ISSN:2305-3623
2305-8463
DOI:10.5815/ijeme.2011.06.07