Solutions of Emden–Fowler equations by homotopy-perturbation methods

Solutions of Emden–Fowler equations by homotopy-perturbation methods

In this paper, approximate and/or exact analytical solutions of the generalized Emden–Fowler type equations in the second-order ordinary differential equations (ODEs) are obtained by homotopy-perturbation method (HPM). The homotopy-perturbation method (HPM) is a coupling of the perturbation method a...

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Main Authors: Chowdhury, Md. Sazzad Hossien, Hashim, Ishak
Format: Article
Language:English
Published: Elsevier 2009
Subjects:
QA76 Computer software
Online Access:http://irep.iium.edu.my/6656/
http://irep.iium.edu.my/6656/
http://irep.iium.edu.my/6656/
http://irep.iium.edu.my/6656/1/Solutions_of_Emden%E2%80%93Fowler_equations_by_homotopy-perturbation_method.pdf
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recordtype eprints
spelling iium-66562011-11-24T03:45:26Z http://irep.iium.edu.my/6656/ Solutions of Emden–Fowler equations by homotopy-perturbation methods Chowdhury, Md. Sazzad Hossien Hashim, Ishak QA76 Computer software In this paper, approximate and/or exact analytical solutions of the generalized Emden–Fowler type equations in the second-order ordinary differential equations (ODEs) are obtained by homotopy-perturbation method (HPM). The homotopy-perturbation method (HPM) is a coupling of the perturbation method and the homotopy method. The main feature of the HPM is that it deforms a difficult problem into a set of problems which are easier to solve. In this work, HPM yields solutions in convergent series forms with easily computable terms, and in some cases, only one iteration leads to the high accuracy of the solutions. Comparisons with the exact solutions and the solutions obtained by the Adomian decomposition method (ADM) show the efficiency of HPM in solving equations with singularity. Elsevier 2009-02 Article PeerReviewed application/pdf en http://irep.iium.edu.my/6656/1/Solutions_of_Emden%E2%80%93Fowler_equations_by_homotopy-perturbation_method.pdf Chowdhury, Md. Sazzad Hossien and Hashim, Ishak (2009) Solutions of Emden–Fowler equations by homotopy-perturbation methods. Nonlinear Analysis: Real World Applications, 10 (1). pp. 104-115. ISSN 1468-1218 http://www.sciencedirect.com/science/article/pii/S1468121807001599 doi:10.1016/j.nonrwa.2007.08.017
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 Emden–Fowler equations by homotopy-perturbation methods
description In this paper, approximate and/or exact analytical solutions of the generalized Emden–Fowler type equations in the second-order ordinary differential equations (ODEs) are obtained by homotopy-perturbation method (HPM). The homotopy-perturbation method (HPM) is a coupling of the perturbation method and the homotopy method. The main feature of the HPM is that it deforms a difficult problem into a set of problems which are easier to solve. In this work, HPM yields solutions in convergent series forms with easily computable terms, and in some cases, only one iteration leads to the high accuracy of the solutions. Comparisons with the exact solutions and the solutions obtained by the Adomian decomposition method (ADM) show the efficiency of HPM in solving equations with singularity.
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 Emden–Fowler equations by homotopy-perturbation methods
title_short Solutions of Emden–Fowler equations by homotopy-perturbation methods
title_full Solutions of Emden–Fowler equations by homotopy-perturbation methods
title_fullStr Solutions of Emden–Fowler equations by homotopy-perturbation methods
title_full_unstemmed Solutions of Emden–Fowler equations by homotopy-perturbation methods
title_sort solutions of emden–fowler equations by homotopy-perturbation methods
publisher Elsevier
publishDate 2009
url http://irep.iium.edu.my/6656/
http://irep.iium.edu.my/6656/
http://irep.iium.edu.my/6656/
http://irep.iium.edu.my/6656/1/Solutions_of_Emden%E2%80%93Fowler_equations_by_homotopy-perturbation_method.pdf
first_indexed 2023-09-18T20:15:44Z
last_indexed 2023-09-18T20:15:44Z
_version_ 1777407774583422976

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