An effective computational technique for a class of Lane-Emden equations

摘要

In this work, we propose an effective numerical technique for a class of Lane-Emden equation which arises in chemistry and other branches. This technique is the combination of variational iteration and homotopy perturbation. It produces approximate solution in the form of a series, which is very handy from computational point of view. Accuracy of the proposed method is revealed by test examples.