Title of article :
Application of Fuzzy Bicubic Splines Interpolation for Solving Two-Dimensional Linear Fuzzy Fredholm Integral Equations
Author/Authors :
Nouriani, H. Department of Mathematics - Karaj Branch, Islamic Azad University, Karaj, Iran , Ezzati, R. Department of Mathematics - Karaj Branch, Islamic Azad University, Karaj, Iran
Abstract :
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.
Keywords :
Fuzzy numbers , Iterative method , Two dimensional fuzzy splines interpolation , Two-dimensional linear fuzzy Fredholm integral equations
Journal title :
Astroparticle Physics
