Solving a system of nonlinear integral equations by an RBF network

Title: Solving a system of nonlinear integral equations by an RBF network
Creator: Golbabai, A.; Mammadov, Musa; Seifollahi, Sattar
Date: 2009
Type: Text; Journal article
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/33239
Identifier: vital:2101
Identifier: https://doi.org/10.1016/j.camwa.2009.03.038
Identifier: ISSN:0898-1221
Abstract: In this paper, a novel learning strategy for radial basis function networks (RBFN) is proposed. By adjusting the parameters of the hidden layer, including the RBF centers and widths, the weights of the output layer are adapted by local optimization methods. A new local optimization algorithm based on a combination of the gradient and Newton methods is introduced. The efficiency of some local optimization methods to Update the weights of RBFN is Studied in solving systems of nonlinear integral equations. (C) 2009 Elsevier Ltd. All rights reserved.
Relation: Computers & Mathematics with Applications Vol. 57, no. 10 (2009), p. 1651-1658
Rights: Copyright Elsevier
Rights: This metadata is freely available under a CCO license
Subject: RBF network; Newton's method; Gradient method; System of nonlinear; Integral equations; Continuous optimization; Approximation; Algorithm
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