Numerical Solution for the 2D Linear Fredholm Functional Integral Equations

In this work, a numerical method is applied for obtaining numerical solutions of Fredholm two-dimensional functional linear integral equations based on the radial basis function (RBF). To find the approximate solutions of these types of equations, first, we approximate the unknown function as a fini...

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Autores principales:	Neda Khaksari, Mahmoud Paripour, Nasrin Karamikabir
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/2e77973ceb804763990852b66fdc98e0
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id	oai:doaj.org-article:2e77973ceb804763990852b66fdc98e0
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spelling	oai:doaj.org-article:2e77973ceb804763990852b66fdc98e02021-11-22T01:10:52ZNumerical Solution for the 2D Linear Fredholm Functional Integral Equations2314-478510.1155/2021/9560595https://doaj.org/article/2e77973ceb804763990852b66fdc98e02021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/9560595https://doaj.org/toc/2314-4785In this work, a numerical method is applied for obtaining numerical solutions of Fredholm two-dimensional functional linear integral equations based on the radial basis function (RBF). To find the approximate solutions of these types of equations, first, we approximate the unknown function as a finite series in terms of basic functions. Then, by using the proposed method, we give a formula for determining the unknown function. Using this formula, we obtain a numerical method for solving Fredholm two-dimensional functional linear integral equations. Using the proposed method, we get a system of linear algebraic equations which are solved by an iteration method. In the end, the accuracy and applicability of the proposed method are shown through some numerical applications.Neda KhaksariMahmoud ParipourNasrin KaramikabirHindawi LimitedarticleMathematicsQA1-939ENJournal of Mathematics, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Mathematics QA1-939
spellingShingle	Mathematics QA1-939 Neda Khaksari Mahmoud Paripour Nasrin Karamikabir Numerical Solution for the 2D Linear Fredholm Functional Integral Equations
description	In this work, a numerical method is applied for obtaining numerical solutions of Fredholm two-dimensional functional linear integral equations based on the radial basis function (RBF). To find the approximate solutions of these types of equations, first, we approximate the unknown function as a finite series in terms of basic functions. Then, by using the proposed method, we give a formula for determining the unknown function. Using this formula, we obtain a numerical method for solving Fredholm two-dimensional functional linear integral equations. Using the proposed method, we get a system of linear algebraic equations which are solved by an iteration method. In the end, the accuracy and applicability of the proposed method are shown through some numerical applications.
format	article
author	Neda Khaksari Mahmoud Paripour Nasrin Karamikabir
author_facet	Neda Khaksari Mahmoud Paripour Nasrin Karamikabir
author_sort	Neda Khaksari
title	Numerical Solution for the 2D Linear Fredholm Functional Integral Equations
title_short	Numerical Solution for the 2D Linear Fredholm Functional Integral Equations
title_full	Numerical Solution for the 2D Linear Fredholm Functional Integral Equations
title_fullStr	Numerical Solution for the 2D Linear Fredholm Functional Integral Equations
title_full_unstemmed	Numerical Solution for the 2D Linear Fredholm Functional Integral Equations
title_sort	numerical solution for the 2d linear fredholm functional integral equations
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/2e77973ceb804763990852b66fdc98e0
work_keys_str_mv	AT nedakhaksari numericalsolutionforthe2dlinearfredholmfunctionalintegralequations AT mahmoudparipour numericalsolutionforthe2dlinearfredholmfunctionalintegralequations AT nasrinkaramikabir numericalsolutionforthe2dlinearfredholmfunctionalintegralequations
_version_	1718418331001683968

Numerical Solution for the 2D Linear Fredholm Functional Integral Equations

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