A Piecewise Approximate Method for Solving Second Order Fuzzy Differential Equations Under Generalized ‎Differentiability‎

Document Type : Research Paper


1 Department of Mathematics, Shahr-e-Qods Branch, Islamic Azad University, Tehran, ‎Iran‎.

2 Department of Mathematics, Varamin-Pishva Branch, Islamic Azad University, Varamin, ‎Iran‎.


In this paper a numerical method for solving second order fuzzy differential equations under generalized differentiability is proposed. This method is based on the interpolating a solution by piecewise polynomial of degree 4 in the range of solution. Moreover we investigate the existence, uniqueness and convergence of approximate solutions. Finally the accuracy of piecewise approximate method by some examples are ‎shown.‎