Applying fuzzy wavelet like operator to the numerical solution of linear fuzzy Fredholm integral equations and error ‎analysis

سال انتشار: 1394
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 90

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شناسه ملی سند علمی:

JR_IJIM-7-3_003

تاریخ نمایه سازی: 27 دی 1402

چکیده مقاله:

In this paper, we propose a successive approximation method based on fuzzy wavelet like operator to approximate the solution of linear fuzzy Fredholm integral equations of the second kind with arbitrary kernels. We give the convergence conditions and an error estimate. Also, we investigate the numerical stability of the computed values with respect to small perturbations in the first iteration. Finally, to show the efficiency of the proposed method, we present some test problems, for which the exact solutions are ‎known.‎

کلیدواژه ها:

Fuzzy Fredholm Integral Equation ، Fuzzy wavelet like operator ، Successive approximation ‎method

نویسندگان

F. Mokhtarnejad

Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, ‎Iran‎.

R. Ezzati

Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, ‎Iran‎.