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
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.