2-Point Block Backward Differentiation Formulas for Solving Fuzzy Differential Equations Directly

Abstract

In this paper, 2-point Block Backward Differentiation Formulas (2BBDF) for solving Ordinary Differential Equations (ODEs) is modified for the numerical solution of Fuzzy Differential Equations (FDEs). The implementation of 2BBDF using Newton iteration is discussed. Numerical results obtained by the 2BBDF are presented and compared with the Modified Simpson method in order to illustrate the ability of the 2BBDF method for solving FDEs.