An iterative numerical method to solve nonlinear fuzzy Volterra-Hammerstein integral equations

In this paper, an iterative numerical method has been developed to solve nonlinear fuzzy Volterra integral equations based on three-point quadrature formula. The error estimation of the method is obtained based on Lipschitz condition and in order to confirm the yielded theoretical results, we perfor...

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Bibliographic Details
Published inJournal of intelligent & fuzzy systems Vol. 37; no. 5; pp. 6717 - 6729
Main Authors Ziari, Shokrollah, Bica, Alexandru Mihai
Format Journal Article
LanguageEnglish
Published Amsterdam IOS Press BV 01.01.2019
Subjects
Integral equations
Iterative methods
Lipschitz condition
Mathematical analysis
Nonlinear equations
Numerical analysis
Numerical methods
Quadratures
Volterra integral equations
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Summary:In this paper, an iterative numerical method has been developed to solve nonlinear fuzzy Volterra integral equations based on three-point quadrature formula. The error estimation of the method is obtained based on Lipschitz condition and in order to confirm the yielded theoretical results, we perform the iterative method on some numerical examples.
ISSN:1064-1246
1875-8967
DOI:10.3233/JIFS-190149