Hybrid Functions Method Based on Radial Basis Functions for Solving Nonlinear Fredholm Integral Equations

A numerical technique based on hybrid of radial basis functions including Guassians (GAs) and Multiquadrics (MQs) is proposed to obtain the solution of nonlinear Fredholm integral equations. Zeros of the shifted Legendre polynomials are used as the collocation points. The integral involved in th...

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Main Authors:	H. Almasieh, J. Nazari Meleh
Format:	Article
Language:	English
Published:	Islamic Azad University 2013-09-01
Series:	Journal of Mathematical Extension
Online Access:	http://ijmex.com/index.php/ijmex/article/view/214/128

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spelling	doaj-e69975e02bb0480ab49ff73e4fae674f2020-11-25T03:44:48ZengIslamic Azad UniversityJournal of Mathematical Extension1735-82991735-82992013-09-01732938Hybrid Functions Method Based on Radial Basis Functions for Solving Nonlinear Fredholm Integral EquationsH. Almasieh0J. Nazari Meleh1Khorasgan(Isfahan) Branch, Islamic Azad UniversityKhorasgan(Isfahan) Branch, Islamic Azad UniversityA numerical technique based on hybrid of radial basis functions including Guassians (GAs) and Multiquadrics (MQs) is proposed to obtain the solution of nonlinear Fredholm integral equations. Zeros of the shifted Legendre polynomials are used as the collocation points. The integral involved in the formulation of the problems are approximated based on Legendre-Gauss-Lobatto integration rule. Some numerical examples illustrate the accuracy and validity of the proposed methodhttp://ijmex.com/index.php/ijmex/article/view/214/128
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	H. Almasieh J. Nazari Meleh
spellingShingle	H. Almasieh J. Nazari Meleh Hybrid Functions Method Based on Radial Basis Functions for Solving Nonlinear Fredholm Integral Equations Journal of Mathematical Extension
author_facet	H. Almasieh J. Nazari Meleh
author_sort	H. Almasieh
title	Hybrid Functions Method Based on Radial Basis Functions for Solving Nonlinear Fredholm Integral Equations
title_short	Hybrid Functions Method Based on Radial Basis Functions for Solving Nonlinear Fredholm Integral Equations
title_full	Hybrid Functions Method Based on Radial Basis Functions for Solving Nonlinear Fredholm Integral Equations
title_fullStr	Hybrid Functions Method Based on Radial Basis Functions for Solving Nonlinear Fredholm Integral Equations
title_full_unstemmed	Hybrid Functions Method Based on Radial Basis Functions for Solving Nonlinear Fredholm Integral Equations
title_sort	hybrid functions method based on radial basis functions for solving nonlinear fredholm integral equations
publisher	Islamic Azad University
series	Journal of Mathematical Extension
issn	1735-8299 1735-8299
publishDate	2013-09-01
description	A numerical technique based on hybrid of radial basis functions including Guassians (GAs) and Multiquadrics (MQs) is proposed to obtain the solution of nonlinear Fredholm integral equations. Zeros of the shifted Legendre polynomials are used as the collocation points. The integral involved in the formulation of the problems are approximated based on Legendre-Gauss-Lobatto integration rule. Some numerical examples illustrate the accuracy and validity of the proposed method
url	http://ijmex.com/index.php/ijmex/article/view/214/128
work_keys_str_mv	AT halmasieh hybridfunctionsmethodbasedonradialbasisfunctionsforsolvingnonlinearfredholmintegralequations AT jnazarimeleh hybridfunctionsmethodbasedonradialbasisfunctionsforsolvingnonlinearfredholmintegralequations
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Hybrid Functions Method Based on Radial Basis Functions for Solving Nonlinear Fredholm Integral Equations

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