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

محورهای موضوعی : مجله بین المللی ریاضیات صنعتی

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.)

تاریخ دریافت : 1396/04/20 تاریخ پذیرش : 1396/04/20 تاریخ انتشار : 1396/04/10

کلید واژه: Generalized differentiability, Numerical Solution, Fuzzy Differential ‎Equations,

چکیده مقاله :

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.‎