Application of ‎F‎uzzy Bicubic Splines Interpolation for Solving ‎T‎wo-Dimensional Linear Fuzzy Fredholm Integral ‎Equations‎‎

الموضوعات : مجله بین المللی ریاضیات صنعتی

H. ‎Nouriani‎ ¹ (Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.)
R. ‎Ezzati‎‎‎ ² (Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.)

تاريخ الإرسال : 06 الجمعة , شوال, 1430 تاريخ التأكيد : 11 السبت , جمادى الثانية, 1440 تاريخ الإصدار : 25 الإثنين , رجب, 1440

الکلمات المفتاحية: Fuzzy‎ ‎numbers‎, Iterative method, Two dimensional fuzzy splines‎ ‎interpolation, Two-dimensional linear fuzzy‎ ‎Fredholm integral equations,

ملخص المقالة :

‎In this paper‎, ‎firstly‎, ‎we review approximation of fuzzy functions‎ ‎by fuzzy bicubic splines interpolation and present a new approach‎ ‎based on the two-dimensional fuzzy splines interpolation and‎ ‎iterative method to approximate the solution of two-dimensional‎ ‎linear fuzzy Fredholm integral equation (2DLFFIE)‎. ‎Also‎, ‎we prove‎ ‎convergence analysis and numerical stability analysis for the‎ ‎proposed numerical algorithm‎. ‎Finally‎, ‎by an example‎, ‎we show the‎ ‎efficiency of the proposed ‎method.‎