Extended Predictor-Corrector Methods for Solving Fuzzy Differential Equations under Generalised Differentiability

In this paper, the (m+1)-step Adams-Bashforth, Adams-Moulton, and Predictor-Corrector methods are used to solve rst-order linear fuzzy ordinary dierential equations. The concepts of fuzzy interpolation and generalised strongly dierentiability are used, to obtain general algorithms. Each of these algorithms has advantages over current methods. Moreover, for each algorithm a convergence formula can be obtained. The convergence of these methods is proven in detail. Finally, these methods are illustrated using example initial value problems.