چهلمین کنفرانس ریاضی کشور , 2009-08-17

Title : ( Neural network application to solve Fredholm integral equations of the second kind )

Authors: Sohrab Effati , R.Buzhabadi ,

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In this paper, a novel method based on 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 network, 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 existing numerical methods shows that the use of neural networks provides solutions with very good generalizations and higher accurac.

Keywords

, Fredholm Integral equations, Artficial neural networks, MLPs (Multi- Layer Perceptron
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@inproceedings{paperid:1012618,
author = {Effati, Sohrab and R.Buzhabadi},
title = {Neural network application to solve Fredholm integral equations of the second kind},
booktitle = {چهلمین کنفرانس ریاضی کشور},
year = {2009},
location = {تهران, IRAN},
keywords = {Fredholm Integral equations; Artficial neural networks; MLPs (Multi- Layer Perceptron networks).},
}

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%0 Conference Proceedings
%T Neural network application to solve Fredholm integral equations of the second kind
%A Effati, Sohrab
%A R.Buzhabadi
%J چهلمین کنفرانس ریاضی کشور
%D 2009

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