A coupled approach for solving a class of singular initial value problems of lane–Emden type arising in astrophysics

Abstract

In this paper, a coupled approach based on an integral operator and polynomial least square method is introduced to solve a singular initial value problem: Lane–Emden equation. In this approach first, using an integral operator, Lane–Emden equation is converted into nonlinear Volterra integral equation which is further solved using polynomial least square method. The accuracy and validity of the method are demonstrated using many numerical examples.