Title of article :
Extended Predictor-Corrector Methods for Solving Fuzzy Differential Equations under Generalized Differentiability
Author/Authors :
Barkhordari Ahmadi, M. Department of Mathematics - Bandar Abbas Branch, Islamic Azad University, Bandar Abbas, Iran. , Kiani, N. A. Viroquant Research Group Modeling - Heidelberg University, Germany , Mikaeilvand, N. Department of Mathematics - Ardabil branch, Islamic Azad University, Ardabil, Iran
Abstract :
In this paper, the (m+ 1)-step Adams-Bashforth, Adams-Moulton, and Predictor-Corrector methods are used to solve first-order fuzzy linear ordinary differential equations. The concepts of fuzzy interpolation and generalized strongly differentiability 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 examples of initial value problems.
Keywords :
Fuzzy-number-valued function , Generalized differentiability , Fuzzy differential equation , Adams-Bashforth method , Adams-Moulton method , Predictor-Corrector method
Journal title :
Astroparticle Physics
