Solutions of the Singular IVPs of Lane-Emden type equations by combining Laplace transformation and perturbation technique
| Autor: | Hossein Aminikhah |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Laplace transform
Computer Networks and Communications General Chemical Engineering General Engineering Perturbation (astronomy) 010103 numerical & computational mathematics lane-emden equation Engineering (General). Civil engineering (General) 01 natural sciences 010305 fluids & plasmas perturbation technique 02.30.hq 31.15.xp polynomial series Modeling and Simulation 0103 physical sciences laplace transform Applied mathematics Polynomial series TA1-2040 0101 mathematics Lane–Emden equation 02.60.cb Mathematics |
| Zdroj: | Nonlinear Engineering, Vol 7, Iss 4, Pp 273-278 (2018) |
| ISSN: | 2192-8029 2192-8010 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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