2021-01-22T12:44:57+03:30
http://ijiepr.iust.ac.ir/browse.php?mag_id=17&slc_lang=en&sid=1
17-142
2021-01-22
10.1002
International Journal of Industrial Engineering & Production Research
IJIEPR
2008-4889
2345-363X
10.22068/ijiepr
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
17-143
2021-01-22
10.1002
International Journal of Industrial Engineering & Production Research
IJIEPR
2008-4889
2345-363X
10.22068/ijiepr
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
17-144
2021-01-22
10.1002
International Journal of Industrial Engineering & Production Research
IJIEPR
2008-4889
2345-363X
10.22068/ijiepr
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