International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2569

Full Length Research Paper

Numerical solution of Fredholm integral equations of the second kind by using fuzzy transforms

R. Ezzati* and F. Mokhtari    
  Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.  
Email: [email protected]

  •  Accepted: 08 February 2012
  •  Published: 02 March 2012

Abstract

In this paper, we introduce an approach by using inverse fuzzy transforms based on the fuzzy partition with combination in collocation technique for the numerical solution of Fredholm integral equations of the second kind. The main advantage of this approach is to reduce the problem to the linear system of equations. We present the convergence theorem for this method. Finally, we give two examples to illustrate the efficiency of the proposed method.

 

Key words:  Fredholm integral equation, basic function, fuzzy transforms.