Release Time:2019-03-12  Hits:

Indexed by: Journal Article

Date of Publication: 2018-11-23

Journal: NEUROCOMPUTING

Included Journals: Scopus、SCIE

Volume: 317

Page Number: 15-27

ISSN: 0925-2312

Key Words: Linear electromagnetic equation; Nonlinear electromagnetic equation; Multimedia electromagnetic equation; Discontinuous boundary conditions; Least squares support vector machines; Cubic spline

Abstract: 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.