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Solving nonlinear Volterra-Fredholm fuzzy integro-differential equations by using Adomian decomposition method.

Authors :
Georgieva, Atanaska
Spasova, Mira
Pasheva, Vesela
Popivanov, Nedyu
Venkov, George
Source :
AIP Conference Proceedings; 2020, Vol. 2333 Issue 1, p1-8, 8p
Publication Year :
2020

Abstract

In this paper, we find approximate solution of the nonlinear Volterra-Fredholm fuzzy integro-differential equation (NVF-FIDE) by using Adomian decomposition method (ADM). We convert this equation to a nonlinear system of Volterra-Fredholm integro-differential equations in crisp case and find an approximate solution of this system. Hence, we obtain an approximation for the fuzzy solution of the nonlinear Volterra-Fredholm fuzzy integro-differential equation. A numerical example is given to demonstrate the validity and applicability of the proposed technique. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
0094243X
Volume :
2333
Issue :
1
Database :
Complementary Index
Journal :
AIP Conference Proceedings
Publication Type :
Conference
Accession number :
149168295
Full Text :
https://doi.org/10.1063/5.0041602