Optimal homotopy asymptotic method for solving nth order linear fuzzy initial value problems

In this paper the optimal homotopy asymptotic method (OHAM) is employed to obtain approximate analytical solution of nth order (n⩾2) linear fuzzy initial value problems (FIVPs). The convergence theorem of this method in fuzzy case is presented and proved. This method provides us with a convenient way to control the convergence of approximation series. The method is tested on nth linear FIVPs and comparisons of the exact solution that were made with numerical results showed the effectiveness and accuracy of this method.