Optimization of DGM (2, 1)

Abstract

Based on the grey differential equation of DGM (2, 1), its Connotation expression is derived in this paper, and shows that DGM (2, 1) is a non-homogeneous exponential type. Further, by comparing the connotation expression with the solution of the whitenization equation, we find that the solution is inconsistent with the connotation expression, and the differential restored value is also inconsistent with the inverse-accumulating restored value. So the optimized DGM (2, 1) is presented, which has the white exponential superposition. Some examples also show that the optimized model has a high simulation precision.