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

نویسندگان

  • H. ‎Nouriani‎ Department of Mathematics‎, ‎Karaj‎ Branch‎, ‎Islamic Azad University‎, ‎Karaj‎‎, ‎Iran.
  • R. ‎Ezzati‎‎‎ Department of Mathematics‎, ‎Karaj Branch‎, ‎Islamic Azad University‎, ‎Karaj‎, ‎Iran.
چکیده مقاله:

‎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.‎

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عنوان ژورنال

دوره 11  شماره 2

صفحات  131- 142

تاریخ انتشار 2019-04-01

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