Neural Computing and Applications, ( ISI ), Volume (10), No (1), Year (2010-2) , Pages (1-10)

Title : ( A neural network approach for solving Fredholm integral equations of the second kind )

Authors: Sohrab Effati , Reza Buzhabadi ,

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In this paper, a novel method based on feedforward neural networks is presented for solving Fredholm integral equations of the second kind. In the present approach, we first approximate the unknown function based on neural networks, then substitute the approximate function in the appropriate error function of the integral equation, and finally train the network with as few neurons as necessary to achieve the desired accuracy. This novel method, in comparison with Harr function and Bernstein polynomials methods, shows that the use of neural networks provides solutions with very good generalizations and higher accuracy. The proposed method is illustrated by several examples.

Keywords

, Fredholm integral equations, Artificial neural networks, Activation function, Multilayer perceptron
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@article{paperid:1021557,
author = {Effati, Sohrab and Reza Buzhabadi},
title = {A neural network approach for solving Fredholm integral equations of the second kind},
journal = {Neural Computing and Applications},
year = {2010},
volume = {10},
number = {1},
month = {February},
issn = {0941-0643},
pages = {1--10},
numpages = {9},
keywords = {Fredholm integral equations; Artificial neural networks; Activation function; Multilayer perceptron networks},
}

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%0 Journal Article
%T A neural network approach for solving Fredholm integral equations of the second kind
%A Effati, Sohrab
%A Reza Buzhabadi
%J Neural Computing and Applications
%@ 0941-0643
%D 2010

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