Modified Laplace Decomposition Method for Lane-Emden Type Differential Equations

Abstract

In this paper, A new scheme, deduced from the Modified Laplace decomposition method (MLDM), is presented to obtain exact solutions for the singular initial value problems (IVPs) of lane-Emden type. Both linear and nonlinear cases are considered. If the exact solution exists in the zeroth component, the proposed method yields exact solution in two iterations. The results show that MLDM is very effective and easy to implement. Index Terms-Modified laplace decomposition method, singular, initial value problem, lane-emden type equation.