Solution of a Subclass of Singular Second Order Differential Equation of Lane Emden type by Taylor Series Method

Abstract

In this paper, a subclass of second order differential equation of Lane Emden type followed by imposed initial or boundary condition is identified for solving by Taylor's series method. Such types of problems come into existence while modeling upon some of peer physical phenomenon. The proposed method eventually produces an analytic solution in the form of a polynomial function. Again some of the problems available in literature are also considered and tested for solution to justify the suitability and viability of the method.

Keywords: Variation iteration method, boundary value problems, analytic solution, Lane-Emden equation, He's Polynomial, Taylor series.