Quadrature rules and iterative method for numerical solution of two-dimensional fuzzy integral equations
type: Item
instance of: scholarly article
title: Quadrature rules and iterative method for numerical solution of two-dimensional fuzzy integral equations
zbMATH Open document ID: 1470.65221
DOI: 10.1155/2014/413570
author: S. M. Sadatrasoul
author: R. Ezzati
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We introduce some generalized quadrature rules to approximate two-dimensional, Henstock integral of fuzzy-number-valued functions. We also give error bounds for mappings of bounded variation in terms of uniform modulus of continuity. Moreover, we propose an iterative procedure based on quadrature formula to solve two-dimensional linear fuzzy Fredholm integral equations of the second kind (\textit{2DFFLIE2}), and we present the error estimation of the proposed method. Finally, some numerical experiments confirm the theoretical results and illustrate the accuracy of the method.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 26E50
zbMATH DE Number: 7022346
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/413570
OpenAlex ID: W2049496270
Wikidata QID: Q59037719
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description: scientific article; zbMATH DE number 7022346