A new algorithm for solving differential equations of Lane–Emden type

摘要

In this paper, a reliable algorithm is employed to investigate the differential equations of Lane–Emden type. The algorithm rests mainly on the Adomian decomposition method with an alternate framework designed to overcome the difficulty of the singular point. The proposed framework is applied to a generalization of Lane–Emden equations so that it can be used in differential equations of the same type.