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

Nonlinear engineering: Modeling and application

article

Hossein Aminikhah¹ 

[1] Department of Applied Mathematics and Computer Science, Faculty of Mathematical Sciences, University of Guilan

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

DOI  :  10.1515/nleng-2017-0086

来源: De Gruyter

【 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.

【 授权许可】

Unknown