A Novel Parameter Estimation Method for Muskingum Model Using New Newton-Type Trust Region Algorithm
Joint Authors
Sheng, Zhou
Ouyang, Aijia
Liu, Li-Bin
Yuan, Gonglin
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-12-18
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
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 θ to approximate Muskingum model is presented.
The accuracy of these methods is second-order, when θ ≠ 1 / 3 .
Particularly, if we choose θ = 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 θ = 1 / 3 .
It is shown from these results that the presented algorithm has higher forecasting accuracy and wider practicability than other methods.
American Psychological Association (APA)
Sheng, Zhou& Ouyang, Aijia& Liu, Li-Bin& Yuan, Gonglin. 2014. A Novel Parameter Estimation Method for Muskingum Model Using New Newton-Type Trust Region Algorithm. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1044404
Modern Language Association (MLA)
Sheng, Zhou…[et al.]. A Novel Parameter Estimation Method for Muskingum Model Using New Newton-Type Trust Region Algorithm. Mathematical Problems in Engineering No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-1044404
American Medical Association (AMA)
Sheng, Zhou& Ouyang, Aijia& Liu, Li-Bin& Yuan, Gonglin. A Novel Parameter Estimation Method for Muskingum Model Using New Newton-Type Trust Region Algorithm. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1044404
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1044404