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

Subject Areas : International Journal of Industrial Mathematics

E.  Ahmady ¹ (Department of Mathematics, Shahr-e-Qods Branch, Islamic Azad University, Tehran, Iran.)
N.  Ahmady ² (Department of Mathematics, Varamin-Pishva Branch, Islamic Azad University, Varamin, Iran.)

Received: 2017-07-11 Accepted : 2017-07-11 Published : 2017-07-01

Keywords: Generalized differentiability, Numerical Solution, Fuzzy Differential ‎Equations,

Abstract :

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.‎