A novel parameter estimation method for muskingum model using new Newton-type trust region algorithm
type: Item
instance of: scholarly article
title: A novel parameter estimation method for muskingum model using new Newton-type trust region algorithm
zbMATH Open document ID: 1407.86023
DOI: 10.1155/2014/634852
author: Zhou Sheng
author: Aijia Ouyang
author: Libin Liu
author: Gonglin Yuan
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: Parameters estimation of Muskingum model is very significative in both exploitation and utilization of water resources and hydrological forecasting. The optimal results of parameters directly affect the accuracy of flood forecasting. This paper considers the parameters estimation problem of Muskingum model from the following two aspects. Firstly, based on the general trapezoid formulas, a class of new discretization methods including a parameter \(\theta\) to approximate Muskingum model is presented. The accuracy of these methods is second-order, when \(\theta \neq 1 / 3\). Particularly, if we choose \(\theta = 1 / 3\), the accuracy of the presented method can be improved to third-order. Secondly, according to the Newton-type trust region algorithm, a new Newton-type trust region algorithm is given to obtain the parameters of Muskingum model. This method can avoid high dependence on the initial parameters. The average absolute errors (AAE) and the average relative errors (ARE) of the proposed algorithm of parameters estimation for Muskingum model are 8.208122 and 2.462438\%, respectively, where \(\theta = 1 / 3\). It is shown from these results that the presented algorithm has higher forecasting accuracy and wider practicability than other methods.
Mathematics Subject Classification ID: 86A32
Mathematics Subject Classification ID: 62F10
Mathematics Subject Classification ID: 86A05
zbMATH DE Number: 7016904
Wikidata QID: Q59066743
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/634852
OpenAlex ID: W2157305298
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description: scientific article; zbMATH DE number 7016904