Solutions of the Singular IVPs of Lane-Emden type equations by combining Laplace transformation and perturbation technique

[摘要] In this paper, we propose an efficient method to solve linear and nonlinear singular initial value problems of Lane-Emden type equations by combining Laplace transformation and homotopy perturbation methods. The method is based upon Laplace transform, polynomial series and perturbation technique. Several examples, including some well-known Lane-Emden problems, are presented to show the ability and accuracy of the modify method.

[关键词] Lane-Emden equation;Perturbation technique;Laplace transform;Polynomial series