Solution of a Subclass of Lane-Emden Differential Equation by Variational Iteration Method

Abstract

In this paper we apply He's variational iteration method to find out an appropriate solution to a class of singular differential equation under imposed conditions by introducing and inducting in a polynomial pro satisfying the given subject to conditions at the outset as selective function to the solution extracting process. As for as application part is concerned, Illustrative examples from the available literature when treated all over reveal and out show that the solution deduced by proposed method is exact and again polynomial. Overall, a successful produce of exact solutions by proposed process itself justify the effectiveness and efficiency of the method so very much.

Keywords: He's variational iteration method, Lane-Emden differential equation, exact solution, polynomial, Lagrange multiplier.