Approximate approach for solving two points fuzzy boundary value problems

Abstract

In this paper the Homotopy Perturbation Method (HPM) is employed to solve n’thorder (n ≥ 2) non linear two point fuzzy boundary value problems (TPFBVP).  The homotopy perturbation method can be used for solving n’th order fuzzy differential equations directly without reduction to first order system.  The convergence theorem of this method in fuzzy case is presented and proved.  We illustrate the method in numerical experiment including second order linear TPFBVP to show the accuracy and capabilities of HPM.