NUMERICAL METHODS FOR SOLVING FUZZY
FREDHOLM INTEGRAL EQUATION OF THE SECOND KIND
Abstract. In this article some numerical methods, namely: the Taylor expansion method and the Trapezoidal method, have been investigated and 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 example. The numerical results show to be in a close agreement with the exact solution.
AMS Subject classification: 645B05, 45A05, 65R20, 41A58


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DOI: 10.12732/ijam.v28i3.1

Volume: 28
Issue: 3
Year: 2015