李国锋
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论文类型:期刊论文
第一作者:Han, Xiaoming
通讯作者:Han, XM (reprint author), Dalian Univ Technol, Sch Elect Engn, Dalian 116024, Peoples R China.; Wu, ZK (reprint author), Qingdao Agr Univ, Sci & Informat Coll, Qingdao 266109, Peoples R China.
合写作者:Wang, Jinjun,Wu, Ziku,Li, Guofeng,Wu, Yan,Li, Juan
发表时间:2018-11-23
发表刊物:NEUROCOMPUTING
收录刊物:SCIE、Scopus
卷号:317
页面范围:15-27
ISSN号:0925-2312
关键字:Linear electromagnetic equation; Nonlinear electromagnetic equation; Multimedia electromagnetic equation; Discontinuous boundary conditions; Least squares support vector machines; Cubic spline
摘要:In this paper, a new approach based on least squares support vector machines (LS-SVM) is proposed for solving the electromagnetic equations. Firstly, the cubic spline function is employed to smooth the discontinuous boundary. LS-SVM is used to solve the modified problem. Secondly, nonlinear electromagnetic equation is solved by LS-SVM. Finally, multimedia electromagnetic equation is solved by LS-SVM. Same as to the artificial neural networks (ANN), the approximate solutions are composed of two parts. The first part is a known function that satisfies the boundary conditions. The second part is the product of two terms. One term is also a known function which vanished on the boundary. The left part is the combination of kernel functions containing regression parameters. The parameters can be obtained by solving a system of equations. The numerical results show that the proposed method in this paper is feasible. (C) 2018 Elsevier B.V. All rights reserved.
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