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

سال انتشار: 1400
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 105

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شناسه ملی سند علمی:

JR_MSJI-15-2_008

تاریخ نمایه سازی: 28 فروردین 1402

چکیده مقاله:

In this work, we introduce a novel method for solving two-dimensional fuzzy Fredholm integral equations of the second kind (۲D-FFIE-۲). 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 ۲D-FFIE-۲. We prove the convergence of the method and nally apply the method to some examples

نویسندگان

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.