QUADRATURE RULES AND ITERATIVE NUMERICAL METHOD FOR TWO-DIMENSIONAL NONLINEAR FREDHOLM FUZZY INTEGRAL EQUATIONS

TitleQUADRATURE RULES AND ITERATIVE NUMERICAL METHOD FOR TWO-DIMENSIONAL NONLINEAR FREDHOLM FUZZY INTEGRAL EQUATIONS
Publication TypeJournal Article
Year of Publication2017
AuthorsENKOV, SVETOSLAV, GEORGIEVA, ATANASKA, PAVLOVA, ALBENA
Secondary TitleCommunications in Applied Analysis
Volume21
Issue3
Start Page479
Pagination30
Date Published06/2017
Type of Workscientific: mathematics
ISSN1083-2564
AMS45B05, 47H10, 65D32
Abstract

In this paper, we introduce some generalized quadrature rules to approximate two-dimensional Henstock integral of fuzzy-number-valued functions by giving error bounds for Henstock integrable, bounded mappings
in terms of uniform modulus of continuity. We also consider generalizations of classical quadrature rules, such as midpoint-type, trapezoidal and three-point-type quadrature. Moreover, we propose an iterative procedure based on trapezoidal quadrature to solve two-dimensional nonlinear Fredholm fuzzy integral equations. The error estimation of the proposed method is given in terms of uniform and partial modulus of continuity. Finally , an illustrative numerical experiment confirms the theoretical results and demonstrates the accuracy of the method.
 
URLhttp://www.acadsol.eu/en/articles/21/3/9.pdf
DOI10.12732/caa.v21i3.9
Short TitleTwo-Dimensional Nonlinear Fredholm Fuzzy Equations
Alternate JournalCAA
Refereed DesignationRefereed
Full Text

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