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.