An-Najah Staff

This article focuses on developing and examining several numerical algorithms used to construct higher order Taylor methods for approximating the solution of a system of first order initial value problems. Some numerical test cases to demonstrate the efficiency of these algorithms are presented. The numerical results have shown to be consistent with the exact results. 

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.