چهل و دومین کنفرانس ریاضی ایران , 2011-09-05

Title : ( USING ELECTROMAGNETIC META-HEURISTIC ALGORITHM FOR SOLVING NONLINEAR FREDHOLM INTEGRAL EQUATIONS )

Authors: Seyed Hassan Taheri , Faezeh Toutounian Mashhad , Jafar Saberi Najafi ,

Citation: BibTeX | EndNote

Abstract. An efficient algorithm is proposed for solving nonlinear Fredholm integral equations (NFIEs) using the Electromagnetic Meta-Heuristic method (EM). For using this heuristic method, we first approximate a solution for NFIE. By substitution of this solution in NFIE, we will encounter an integral to compute. If this integral be computable, then we will have a system of nonlinear of algebraic equations to solve. If we can not compute this integral because of the integrand involves some unknowns, then we choose a value for each constant and next we compute the integral. But the question have is how do we select these values to achive a good solution for the integral equations? To ensure this question we try to solve the problem by EM method. For solving the system of nonlinear equations we proposed a hybrid of the Newton-GMRES and EM methods. Some numerical examples provided to show that the proposed algorithm can find solutions of NFIEs in practical computation time.

Keywords

, Key words and phrases. Electromagnetism Meta-Heuristic algorithm, Nonlinear Fredholm integral equation, Systems of nonlinear equations, Newton-GMRES method,
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@inproceedings{paperid:1028944,
author = {Taheri, Seyed Hassan and Toutounian Mashhad, Faezeh and Saberi Najafi, Jafar},
title = {USING ELECTROMAGNETIC META-HEURISTIC ALGORITHM FOR SOLVING NONLINEAR FREDHOLM INTEGRAL EQUATIONS},
booktitle = {چهل و دومین کنفرانس ریاضی ایران},
year = {2011},
location = {IRAN},
keywords = {Key words and phrases. Electromagnetism Meta-Heuristic algorithm; Nonlinear Fredholm integral equation; Systems of nonlinear equations; Newton-GMRES method; Collocation method},
}

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%0 Conference Proceedings
%T USING ELECTROMAGNETIC META-HEURISTIC ALGORITHM FOR SOLVING NONLINEAR FREDHOLM INTEGRAL EQUATIONS
%A Taheri, Seyed Hassan
%A Toutounian Mashhad, Faezeh
%A Saberi Najafi, Jafar
%J چهل و دومین کنفرانس ریاضی ایران
%D 2011

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