A Numerical Approach for Solving Forth Order Fuzzy Differential Equations Under Generalized Differentiability

Subject Areas : Applied Mathematics

E. Ahmadi ¹ , N. Ahmadi ²

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

Received: 2015-12-17 Accepted : 2016-03-27 Published : 2017-05-01

Keywords: Numerical Method, Fuzzy dierential equations, Generalized differentiability,

Abstract :

In this paper a numerical method for solving forth order fuzzy dierentialequations under generalized differentiability is proposed. This method is basedon the interpolating a solution by piecewise polynomial of degree 8 in the rangeof solution . We investigate the existence and uniqueness of solutions. Finally anumerical example is presented to illustrate the accuracy of the new technique.