SOLVING TWO-DIMENSIONAL NONLINEAR VOLTERRA-FREDHOLM FUZZY INTEGRAL EQUATIONS BY USING ADOMIAN DECOMPOSITION METHOD

TitleSOLVING TWO-DIMENSIONAL NONLINEAR VOLTERRA-FREDHOLM FUZZY INTEGRAL EQUATIONS BY USING ADOMIAN DECOMPOSITION METHOD
Publication TypeJournal Article
Year of Publication2018
AuthorsGEORGIEVA ATANASKA
JournalDynamic Systems and Applications
Volume27
Issue4
Start Page819
Pagination18
Date Published11/2018
ISSN1056-2176
AMS Subject Classification45B05, 45G10, 65R20
Abstract

In this paper, we propose Adomian decomposition method (ADM) to approximate the solution of two-dimensional nonlinear Volterra-Fredholm fuzzy integral equation (2D-NVFFIE). We convert this integral equation to a nonlinear system of Volterra-Fredholm integral equations in crisp case. The aim of this paper is to find an approximate solution of this system using ADM. Hence, we obtain an approximation for the fuzzy solution of the nonlinear Volterra-Fredholm fuzzy integral equation. A numerical example is given to demonstrate the validity and applicability of the proposed technique.
PDFhttps://acadsol.eu/dsa/articles/27/4/9.pdf
DOI10.12732/dsa.v27i4.9
Refereed DesignationRefereed
Full Text

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