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

Solutions of the Singular IVPs of Lane-Emden type equations by combining Laplace transformation... AbstractIn 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Nonlinear Engineering de Gruyter

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

Nonlinear Engineering , Volume 7 (4): 6 – Dec 19, 2018

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Publisher
de Gruyter
Copyright
© 2018 Walter de Gruyter GmbH, Berlin/Boston
ISSN
2192-8029
eISSN
2192-8029
DOI
10.1515/nleng-2017-0086
Publisher site
See Article on Publisher Site

Abstract

AbstractIn 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.

Journal

Nonlinear Engineeringde Gruyter

Published: Dec 19, 2018

References