Iterative numerical method for fuzzy Volterra linear integral equations in two dimensions
type: Item
instance of: scholarly article
title: Iterative numerical method for fuzzy Volterra linear integral equations in two dimensions
zbMATH Open document ID: 1429.65311
author: Alexandru Mihai Bica
author: S. Ziari
published in: Soft Computing
publication date: 2018-02-27T00:00:00Z
review text: Fuzzy Volterra integral equations were introduced by \textit{P. V. Subrahmanyam} and \textit{S. K. Sudarsanam} [Fuzzy Sets Syst. 81, No. 2, 237--240 (1996; Zbl 0884.45002)]. Existence and uniqueness of solutions were described, e.g., by \textit{M. Khezerloo} and \textit{S. Hajighasemi} [``Existence and uniqueness of solutions of Volterra integral equations'', Int. J. Ind. Math. 4, 69--76 (2012)]. This paper concerns the case with Henstock double integral. The authors followed considerations from [\textit{S. M. Sadatrasoul} and \textit{R. Ezzati}, Abstr. Appl. Anal. 2014, Article ID 413570, 18 p. (2014; Zbl 1470.65221); \textit{A. M. Bica} and \textit{C. Popescu}, Soft Comput. 21, No. 5, 1229--1243 (2017; Zbl 1409.65112)]. The paper describes an iterative method for an approximate solution of fuzzy Volterra linear integral equations with an estimation of the errors. Two numerical examples were prepared in Matlab with an estimation of the time complexity.
reviewed by: Józef Drewniak
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45D05
Mathematics Subject Classification ID: 45A05
Mathematics Subject Classification ID: 26E50
zbMATH DE Number: 6843863
zbMATH Keywords: fuzzy number
zbMATH Keywords: iterative method
zbMATH Keywords: Volterra integral equations
zbMATH Keywords: Henstock integral
zbMATH Keywords: trapezoidal cubature
describes a project that uses: Matlab
MaRDI profile type: Publication
full work available at URL: s00500-016-2085-2
OpenAlex ID: W2292042470
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DOI: 10.1007/S00500-016-2085-2
description: scientific article; zbMATH DE number 6843863