The optimizing whitening differential equation of GM(1,1) based non-homogenous exponential series
Abstract
Based on the criteria that is proposed by Mr. Deng Ju-long, this paper starting from non-homogenous exponential series x(0)(k) and the corresponding 1-AGO derivative expression dx(1)/dt|t=k, to explore the relationship between x(0)(k) and dx(1)/dt|t=k, getting the optimizing whitening differential equation of GM(1,1) based non-homogenous exponential series which is equivalent to the original gray differential equation, and through the example verification, the model of this paper has a good effect, which has certain practical value.
Copyright © 2015 Rui Zhou, Jun-jie Li. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
R. Zhou, J.-j. Li, The optimizing whitening differential equation of GM(1,1) based non-homogenous exponential series, J. Math. Comput. Sci. 5 (2015), 50–55.
BibTeX
@article{Zhou2015,
author = {Zhou, Rui and Li, Jun-jie},
title = {The optimizing whitening differential equation of GM(1,1) based non-homogenous exponential series},
journal = {J. Math. Comput. Sci.},
volume = {5},
year = {2015},
pages = {50--55},
doi = {}
}