A New Method for Solving Two-Dimensional Fuzzy Fredholm Integral Equations of The Second Kind
Publish place: Theory of Approximation and Applications، Vol: 15، Issue: 2
Publish Year: 1400
Type: Journal paper
Language: English
View: 211
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Document National Code:
JR_MSJI-15-2_008
Index date: 17 April 2023
A New Method for Solving Two-Dimensional Fuzzy Fredholm Integral Equations of The Second Kind abstract
In this work, we introduce a novel method for solving two-dimensional fuzzy Fredholm integral equations of the second kind (2D-FFIE-2). We use new representation of parametric form of fuzzy numbers and convert a two-dimensional fuzzy Fredholm integral equation to system of two-dimensional Fredholm integral equations of the second kind in crisp case. We can use Adomian decomposition method for nding the approximation solution of the each equation, hence obtain an approximation for fuzzy solution of 2D-FFIE-2. We prove the convergence of the method and nally apply the method to some examples
A New Method for Solving Two-Dimensional Fuzzy Fredholm Integral Equations of The Second Kind Keywords:
A New Method for Solving Two-Dimensional Fuzzy Fredholm Integral Equations of The Second Kind authors
Mohsen Darabi
Department of Mathematics, Islamic Azad University, Hamedan Branch, Hamedan, Iran
Nouredin Parandin
Department of Mathematics, Islamic Azad University, Kermanshah Branch, Kermanshah, Iran.
Mahmoud Paripour
Department of Mathematics, Hamedan University of Technology, Hamedan, Iran.
Ali Seifi
Department of Mathematics, Islamic Azad University, Hamedan Branch, Hamedan, Iran.