Nonlinear Grey Bernoulli model NGBM (1, 1)'s parameter optimisation method and model application

A Novel Nonlinear Grey Bernoulli Forecast Model NGBM(1,1) of Underground Pressure for Working Surface

Forecasting of underground pressure for working surface (UPWS) is very important in mining technology industry for safety production. These factors (roof lithologic, mining height of coal seam, geological structure, etc.) directly affect the difficulty of forecasting trends in this field. The original Grey Model is not hard to understand and very simple to calculate, with satisfactory accuracy,...

Hydrologic Model Parameter Optimisation

Deterministic rainfall-runoff models require parameter calibration with the aim of matching the modeled streamflow record to an observed record as closely as possible. Much attention has been focused on automated methods of model calibration using meta-heuristics, such as genetic algorithms. In this study, two meta-heuristic algorithms were compared: the shuffled complex evolution (SCE) algorit...

Forecasting Russian renewable, nuclear, and total energy consumption using improved nonlinear grey Bernoulli model

Forecasts of renewable, nuclear, and total primary energy consumption are essential for a green energy system and the understanding of climate change in a rapidly growing market such as Russia. In this paper, nonlinear grey Bernoulli with power j model (NGBM j ) is applied to predict these three different types of energy consumption. A numerical iterative method to optimize the powers of NGBM u...

Forecasting Taiwan's major stock indices by the Nash nonlinear grey Bernoulli model

The Tau-Collocation Method for Solving Nonlinear Integro-Differential Equations and Application of a Population Model

This paper presents a computational technique that called Tau-collocation method for the developed solution of non-linear integro-differential equations which involves a population model. To do this, the nonlinear integro-differential equations are transformed into a system of linear algebraic equations in matrix form without interpolation of non-poly-nomial terms of equations. Then, using coll...