  A new analytic approximate technique for addressing nonlinear problems,
namely the optimal perturbation iteration method, is introduced and implemented
to singular initial value Lane-Emden type problems to test the effectiveness
and performance of the method. This technique provides us to adjust the
convergence regions when necessary.Comparing different methods reveals that the
proposed method is highly accurate and has great potential to be a new kind of
powerful analytical tool for nonlinear differential equations.
