Numerical Solution of Two-Dimensional Linear Fuzzy Fredholm Integral Equations by the Fuzzy Lagrange Interpolation

Numerical Solution of Two-Dimensional Linear Fuzzy Fredholm Integral Equations by the Fuzzy Lagrange Interpolation

In this study, at first, we propose a new approach based on the two-dimensional fuzzy Lagrange interpolation and iterative method to approximate the solution of two-dimensional linear fuzzy Fredholm integral equation (2DLFFIE). Then, we prove convergence analysis and numerical stability analysis for...

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Main Authors: H. Nouriani, R. Ezzati
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Advances in Fuzzy Systems
Online Access:http://dx.doi.org/10.1155/2018/5405124
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spelling doaj-6f8ceb057e1647d1b504ff82f6a288ef2020-11-25T01:14:17ZengHindawi LimitedAdvances in Fuzzy Systems1687-71011687-711X2018-01-01201810.1155/2018/54051245405124Numerical Solution of Two-Dimensional Linear Fuzzy Fredholm Integral Equations by the Fuzzy Lagrange InterpolationH. Nouriani0R. Ezzati1Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, IranDepartment of Mathematics, Karaj Branch, Islamic Azad University, Karaj, IranIn this study, at first, we propose a new approach based on the two-dimensional fuzzy Lagrange interpolation and iterative method to approximate the solution of two-dimensional linear fuzzy Fredholm integral equation (2DLFFIE). Then, we prove convergence analysis and numerical stability analysis for the proposed numerical algorithm by two theorems. Finally, by some examples, we show the efficiency of the proposed method.http://dx.doi.org/10.1155/2018/5405124
collection DOAJ
language English
format Article
sources DOAJ
author H. Nouriani
R. Ezzati
spellingShingle H. Nouriani
R. Ezzati
Numerical Solution of Two-Dimensional Linear Fuzzy Fredholm Integral Equations by the Fuzzy Lagrange Interpolation
Advances in Fuzzy Systems
author_facet H. Nouriani
R. Ezzati
author_sort H. Nouriani
title Numerical Solution of Two-Dimensional Linear Fuzzy Fredholm Integral Equations by the Fuzzy Lagrange Interpolation
title_short Numerical Solution of Two-Dimensional Linear Fuzzy Fredholm Integral Equations by the Fuzzy Lagrange Interpolation
title_full Numerical Solution of Two-Dimensional Linear Fuzzy Fredholm Integral Equations by the Fuzzy Lagrange Interpolation
title_fullStr Numerical Solution of Two-Dimensional Linear Fuzzy Fredholm Integral Equations by the Fuzzy Lagrange Interpolation
title_full_unstemmed Numerical Solution of Two-Dimensional Linear Fuzzy Fredholm Integral Equations by the Fuzzy Lagrange Interpolation
title_sort numerical solution of two-dimensional linear fuzzy fredholm integral equations by the fuzzy lagrange interpolation
publisher Hindawi Limited
series Advances in Fuzzy Systems
issn 1687-7101
1687-711X
publishDate 2018-01-01
description In this study, at first, we propose a new approach based on the two-dimensional fuzzy Lagrange interpolation and iterative method to approximate the solution of two-dimensional linear fuzzy Fredholm integral equation (2DLFFIE). Then, we prove convergence analysis and numerical stability analysis for the proposed numerical algorithm by two theorems. Finally, by some examples, we show the efficiency of the proposed method.
url http://dx.doi.org/10.1155/2018/5405124
work_keys_str_mv AT hnouriani numericalsolutionoftwodimensionallinearfuzzyfredholmintegralequationsbythefuzzylagrangeinterpolation
AT rezzati numericalsolutionoftwodimensionallinearfuzzyfredholmintegralequationsbythefuzzylagrangeinterpolation
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