Numerical Methods for Solving Fuzzy Fredholm Integral Equation of the Second Kind

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Journal Title, Volume, Page: 
International Journal of Applied Mathematics, Vol.28, No.3, 2015,177-195
Year of Publication: 
2015
Authors: 
Naji Qatanani
Department of Mathematics, An-Najah National University, Nablus, Palestine
Current Affiliation: 
Department of Mathematics,Faculty of Science, An-Najah National University, Nablus, Palestine
Muna Amawi
Department of Mathematics, An-Najah National University, Nablus, Palestine
Preferred Abstract (Original): 

In this article some numerical methods, namely: the Taylor expansion method and the Trapezoidal method have been implemented to solve a fuzzy Fredholm integral equation of the second kind. Consequently, we convert a linear fuzzy Fredholm integral equation of the second kind into a linear system of integral equations of the second kind in crisp case. To demonstrate the credibility of these numerical schemes we consider a numerical test examlple. The numerical results show to be in a close agreement with the exact solution.

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