A new method for solving n-order fuzzy differential equation by using polynomial interpolation

A new method for solving n-order fuzzy differential equation by using polynomial interpolationA new method for solving n-order fuzzy differential equation by using polynomial interpolationGiven the importance of the role of fuzzy differential equations in science and engineering,in this paper, we study a numerical method for solving N th order fuzzy differential equations under generalized differentiability. In this method a solution of fuzzy differential equation is approximated by fuzzy polynomial in the form of piece wise fuzzy polynomials in eachsub interval of interval solution. In special case, for solving second order fuzzy differential equation under generalized differentiability, according to the type of differentiability, four cases are considered, then fuzzy polynomial approximation in each cases for solving fuzzy differential equation were constructed. The order of the piece wise fuzzy polynomial in each sub interval of solution is two .Finally this method is illustrated by solving two second order fuzzy differentialequations under generalized differentiability.