Solutions of time-dependent Emden–Fowler type equations by homotopy-perturbation method

In this Letter, we apply the homotopy-perturbation method (HPM) to obtain approximate analytical solutions of the time-dependent Emden– Fowler type equations. We also present a reliable new algorithm based on HPM to overcome the difficulty of the singular point at x = 0. The analysis is accompanie...

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Main Authors:	Chowdhury, Md. Sazzad Hossien, Hashim, Ishak
Format:	Article
Language:	English
Published:	Elsevier 2007
Subjects:	QA76 Computer software
Online Access:	http://irep.iium.edu.my/6659/ http://irep.iium.edu.my/6659/ http://irep.iium.edu.my/6659/1/Solutions_of_time-dependent_Emden%E2%80%93Fowler_type_equations_by_homotopy-perturbation_method.pdf

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spelling	iium-66592013-06-19T08:37:16Z http://irep.iium.edu.my/6659/ Solutions of time-dependent Emden–Fowler type equations by homotopy-perturbation method Chowdhury, Md. Sazzad Hossien Hashim, Ishak QA76 Computer software In this Letter, we apply the homotopy-perturbation method (HPM) to obtain approximate analytical solutions of the time-dependent Emden– Fowler type equations. We also present a reliable new algorithm based on HPM to overcome the difficulty of the singular point at x = 0. The analysis is accompanied by some linear and nonlinear time-dependent singular initial value problems. The results prove that HPM is very effective and simple. Elsevier 2007 Article PeerReviewed application/pdf en http://irep.iium.edu.my/6659/1/Solutions_of_time-dependent_Emden%E2%80%93Fowler_type_equations_by_homotopy-perturbation_method.pdf Chowdhury, Md. Sazzad Hossien and Hashim, Ishak (2007) Solutions of time-dependent Emden–Fowler type equations by homotopy-perturbation method. Physics Letters A, 368. pp. 305-313. ISSN 0375-9601 http://www.journals.elsevier.com/physics-letters-a/
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English
topic	QA76 Computer software
spellingShingle	QA76 Computer software Chowdhury, Md. Sazzad Hossien Hashim, Ishak Solutions of time-dependent Emden–Fowler type equations by homotopy-perturbation method
description	In this Letter, we apply the homotopy-perturbation method (HPM) to obtain approximate analytical solutions of the time-dependent Emden– Fowler type equations. We also present a reliable new algorithm based on HPM to overcome the difficulty of the singular point at x = 0. The analysis is accompanied by some linear and nonlinear time-dependent singular initial value problems. The results prove that HPM is very effective and simple.
format	Article
author	Chowdhury, Md. Sazzad Hossien Hashim, Ishak
author_facet	Chowdhury, Md. Sazzad Hossien Hashim, Ishak
author_sort	Chowdhury, Md. Sazzad Hossien
title	Solutions of time-dependent Emden–Fowler type equations by homotopy-perturbation method
title_short	Solutions of time-dependent Emden–Fowler type equations by homotopy-perturbation method
title_full	Solutions of time-dependent Emden–Fowler type equations by homotopy-perturbation method
title_fullStr	Solutions of time-dependent Emden–Fowler type equations by homotopy-perturbation method
title_full_unstemmed	Solutions of time-dependent Emden–Fowler type equations by homotopy-perturbation method
title_sort	solutions of time-dependent emden–fowler type equations by homotopy-perturbation method
publisher	Elsevier
publishDate	2007
url	http://irep.iium.edu.my/6659/ http://irep.iium.edu.my/6659/ http://irep.iium.edu.my/6659/1/Solutions_of_time-dependent_Emden%E2%80%93Fowler_type_equations_by_homotopy-perturbation_method.pdf
first_indexed	2023-09-18T20:15:44Z
last_indexed	2023-09-18T20:15:44Z
_version_	1777407774869684224

Solutions of time-dependent Emden–Fowler type equations by homotopy-perturbation method

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