Open AccessNumerical solution of two-dimensional fuzzy Fredholm integral equations of the second kind using triangular functions
Author(s) -
Farshid Mirzaee,
Mohammad Komak Yari,
Elham Hadadiyan
Publication year - 2015
Publication title -
beni-seuf university journal of basic and applied sciences /beni-suef university journal of basic and applied sciences
Language(s) - English
Resource type - Journals
eISSN - 2314-8543
pISSN - 2314-8535
DOI - 10.1016/j.bjbas.2015.05.003
Subject(s) - fredholm integral equation , mathematics , integral equation , fredholm theory , fuzzy logic , convergence (economics) , mathematical analysis , integral transform , computer science , artificial intelligence , economic growth , economics
The main purpose of this paper is to approximate the solution of linear two-dimensional fuzzy Fredholm integral equations of the second kind (2D-FFIE-2). We use fuzzy two-dimensional triangular functions (2D-TFs) to reduce the 2D–FFIE–2 to a system of linear Fredholm integral equations of the second kind with three variables in crisp. More over, we prove the convergence of the method. Finally we illustrate this method with some numerical examples to demonstrate the validity and applicability of the technique