Radial basis functions method for solving three-dimensional linear Fredholm integral equations on the cubic domains

Radial basis functions method for solving three-dimensional linear Fredholm integral equations on the cubic domains

The main purpose of this article is to describe a numerical scheme for solving three-dimensional linear Fredholm integral equations of the second kind on the cubic domains. The method is based on interpolation by radial basis functions (RBFs) based on Gauss-Legendre nodes and weights. Error analysis...

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Main Authors: Mohsen Esmaeilbeigi, Farshid Mirzaee, Davoud Moazami
Format: Article
Language:English
Published: Ferdowsi University of Mashhad 2017-10-01
Series:Iranian Journal of Numerical Analysis and Optimization
Subjects:
three-dimensional integral equation
radial basis functions
collocation method
cubic domains
Online Access:https://ijnao.um.ac.ir/article_24549_9bffd7ba440c0dd9c09c1905b05bf307.pdf
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spelling doaj-8b9ed43f94c4400195ee561fcec557bd2021-06-02T05:55:55ZengFerdowsi University of MashhadIranian Journal of Numerical Analysis and Optimization2423-69772423-69692017-10-0172153810.22067/ijnao.v7i2.5208524549Radial basis functions method for solving three-dimensional linear Fredholm integral equations on the cubic domainsMohsen Esmaeilbeigi0Farshid Mirzaee1Davoud Moazami2Department of Mathematics, Faculty of Mathematical Sciences and Statistics, Malayer University, Malayer, Iran.Department of Mathematics, Faculty of Mathematical Sciences and Statistics, Malayer University, Malayer, Iran.Department of Mathematics, Faculty of Mathematical Sciences and Statistics, Malayer University, Malayer, Iran.The main purpose of this article is to describe a numerical scheme for solving three-dimensional linear Fredholm integral equations of the second kind on the cubic domains. The method is based on interpolation by radial basis functions (RBFs) based on Gauss-Legendre nodes and weights. Error analysis is presented for this method. Finally, several examples are given and numerical examples are presented to demonstrate the validity and applicability of the method.https://ijnao.um.ac.ir/article_24549_9bffd7ba440c0dd9c09c1905b05bf307.pdfthree-dimensional integral equationradial basis functionscollocation methodcubic domains
collection DOAJ
language English
format Article
sources DOAJ
author Mohsen Esmaeilbeigi
Farshid Mirzaee
Davoud Moazami
spellingShingle Mohsen Esmaeilbeigi
Farshid Mirzaee
Davoud Moazami
Radial basis functions method for solving three-dimensional linear Fredholm integral equations on the cubic domains
Iranian Journal of Numerical Analysis and Optimization
three-dimensional integral equation
radial basis functions
collocation method
cubic domains
author_facet Mohsen Esmaeilbeigi
Farshid Mirzaee
Davoud Moazami
author_sort Mohsen Esmaeilbeigi
title Radial basis functions method for solving three-dimensional linear Fredholm integral equations on the cubic domains
title_short Radial basis functions method for solving three-dimensional linear Fredholm integral equations on the cubic domains
title_full Radial basis functions method for solving three-dimensional linear Fredholm integral equations on the cubic domains
title_fullStr Radial basis functions method for solving three-dimensional linear Fredholm integral equations on the cubic domains
title_full_unstemmed Radial basis functions method for solving three-dimensional linear Fredholm integral equations on the cubic domains
title_sort radial basis functions method for solving three-dimensional linear fredholm integral equations on the cubic domains
publisher Ferdowsi University of Mashhad
series Iranian Journal of Numerical Analysis and Optimization
issn 2423-6977
2423-6969
publishDate 2017-10-01
description The main purpose of this article is to describe a numerical scheme for solving three-dimensional linear Fredholm integral equations of the second kind on the cubic domains. The method is based on interpolation by radial basis functions (RBFs) based on Gauss-Legendre nodes and weights. Error analysis is presented for this method. Finally, several examples are given and numerical examples are presented to demonstrate the validity and applicability of the method.
topic three-dimensional integral equation
radial basis functions
collocation method
cubic domains
url https://ijnao.um.ac.ir/article_24549_9bffd7ba440c0dd9c09c1905b05bf307.pdf
work_keys_str_mv AT mohsenesmaeilbeigi radialbasisfunctionsmethodforsolvingthreedimensionallinearfredholmintegralequationsonthecubicdomains
AT farshidmirzaee radialbasisfunctionsmethodforsolvingthreedimensionallinearfredholmintegralequationsonthecubicdomains
AT davoudmoazami radialbasisfunctionsmethodforsolvingthreedimensionallinearfredholmintegralequationsonthecubicdomains
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