Extended Block Hybrid Backward Differentiation Formula for Second Order Fuzzy Differential Equations Using Legendre Polynomial as Basis Function.

Abstract

In this paper, we developed an implicit continuous four-step Extended Block Hybrid Backward Differentiation Formulae (EBHBDF) for the direct solution of Fuzzy Differential Equations (FDEs). For this purpose, the Legendre polynomial was employed as the basis function for the development of schemes in a collocation and interpolation techniques. in this regard and the results are satisfied the convex triangular fuzzy number. We also compare the numerical results with the exact solution, and it shows that the proposed method is good approximation for the analytic solution of the given second order Fuzzy Differential Equations