A New Strategy for Training RBF Network with Applications to Nonlinear Integral Equations

2026-06-08T17:42:39+03:30 http://ijiepr.iust.ac.ir/browse.php?mag_id=17&slc_lang=en&sid=1

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International Journal of Industrial Engineering & Production Research IJIEPR 2008-4889 2345-363X 2008 19 6 A New Strategy for Training RBF Network with Applications to Nonlinear Integral Equations A. Golbabai m.mammadov@ballarat.edu.au M. Mammadov S. Seifollahi sattarseif@gmail.com A new learning strategy is proposed for training of radial basis functions (RBF) network. We apply two different local optimization methods to update the output weights in training process, the gradient method and a combination of the gradient and Newton methods. Numerical results obtained in solving nonlinear integral equations show the excellent performance of the combined gradient method in comparison with gradient method as local back propagation algorithms. RBF network Gradient method Newton\'s method Nonlinear integral equations 2008 8 01 1 7

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International Journal of Industrial Engineering & Production Research IJIEPR 2008-4889 2345-363X 2008 19 6 Information Covariance Matrices for Multivariate Burr III and Logistic Distributions Gh. Yari yari@iust.ac.ir A.M. Djafari djafari@lss.supelec.fr Main result of this paper is to derive the exact analytical expressions of information and covariance matrices for multivariate Burr III and logistic distributions. These distributions arise as tractable parametric models in price and income distributions, reliability, economics, Human population, some biological organisms to model agricultural population data and survival data. We showed that all the calculations can be obtained from one main moment multi dimensional integral whose expression is obtained through some particular change of variables. Indeed, we consider that this calculus technique for improper integral has its own importance . Gamma and Beta functions Polygamma functions Information and Covariance Matrices Multivariate Burr III and Logistic models 2008 8 01 9 20

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International Journal of Industrial Engineering & Production Research IJIEPR 2008-4889 2345-363X 2008 19 6 On the Numerical Solution of One Dimensional Schrodinger Equation with Boundary Conditions Involving Fractional Differential Operators B. Jazbi . jazbi @iust.ac.ir M. Moini m-moini@iust.ac.ir. In this paper we study of collocation method with Radial Basis Function to solve one dimensional time dependent Schrodinger equation in an unbounded domain. To this end, we introduce artificial boundaries and reduce the original problem to an initial boundary value problem in a bounded domain with transparent boundary conditions that involves half order fractional derivative in t. Then in three stages we use the Laplace Transform method, the collocation method and finally the Legender expansion method. Numerical examples are given to show the effectiveness of the scheme. The Schrodinger equation Collocation method Radial Basis Function Fractional derivative boundary condition Legendre expansion method 2008 8 01 21 26