A New Method for Solving Two-Dimensional Fuzzy Fredholm Integral Equations of The Second Kind

Theory of Approximation and Applications

مقاله 8، دوره 15، شماره 2، اسفند 2021، صفحه 105-117   

نوع مقاله: Research Articles

نویسندگان

Mohsen Darabi¹؛ Nouredin Parandin^{* 2}؛ Mahmoud Paripour³؛ Ali Seifi⁴

¹Department of Mathematics, Islamic Azad University, Hamedan Branch, Hamedan, Iran

²Department of Mathematics, Islamic Azad University, Kermanshah Branch, Kermanshah, Iran.

³Department of Mathematics, Hamedan University of Technology, Hamedan, Iran.

⁴Department of Mathematics, Islamic Azad University, Hamedan Branch, Hamedan, Iran.

چکیده

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

کلیدواژه‌ها

Fuzzy Fredholm؛ integral equation؛ Adomian decomposition؛ Parametric form