An accurate analytic solution for differential and integral equations by modified homotopy perturbation method

In this paper, the new modified Homotopy Perturbation Method (HPM) is applied for analytical treatment of differential equations and integral equations. The new modified HPM yields an analytical solution in terms of a rapidly convergent infinite power series with easily computable terms. The effic...

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Main Authors:	Chowdhury, Md. Sazzad Hossien, Razali, Nur Isnida, Ali, Sellami, Rahman, M. M.
Format:	Article
Language:	English
Published:	IDOSI Publications 2013
Subjects:	QA76 Computer software
Online Access:	http://irep.iium.edu.my/29640/ http://irep.iium.edu.my/29640/ http://irep.iium.edu.my/29640/ http://irep.iium.edu.my/29640/1/An_accurate_analytic_solution_for_differential_and_integral_equations_by_modified_homotopy_perturbation_method.pdf

id	iium-29640
recordtype	eprints
spelling	iium-296402013-04-19T08:27:21Z http://irep.iium.edu.my/29640/ An accurate analytic solution for differential and integral equations by modified homotopy perturbation method Chowdhury, Md. Sazzad Hossien Razali, Nur Isnida Ali, Sellami Rahman, M. M. QA76 Computer software In this paper, the new modified Homotopy Perturbation Method (HPM) is applied for analytical treatment of differential equations and integral equations. The new modified HPM yields an analytical solution in terms of a rapidly convergent infinite power series with easily computable terms. The efficiency of the new modified technique is examined by several illustrative examples. In all cases of differential and integral equations, the new modified HPM yields the exact solutions in minimal iterations only. IDOSI Publications 2013 Article PeerReviewed application/pdf en http://irep.iium.edu.my/29640/1/An_accurate_analytic_solution_for_differential_and_integral_equations_by_modified_homotopy_perturbation_method.pdf Chowdhury, Md. Sazzad Hossien and Razali, Nur Isnida and Ali, Sellami and Rahman, M. M. (2013) An accurate analytic solution for differential and integral equations by modified homotopy perturbation method. Middle East Journal of Scientific Research (MEJSR), 13. 50-58. ISSN 1990-9233 http://www.idosi.org/mejsr/online.htm 10.5829/idosi.mejsr.2013.13.mae.99916
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 Razali, Nur Isnida Ali, Sellami Rahman, M. M. An accurate analytic solution for differential and integral equations by modified homotopy perturbation method
description	In this paper, the new modified Homotopy Perturbation Method (HPM) is applied for analytical treatment of differential equations and integral equations. The new modified HPM yields an analytical solution in terms of a rapidly convergent infinite power series with easily computable terms. The efficiency of the new modified technique is examined by several illustrative examples. In all cases of differential and integral equations, the new modified HPM yields the exact solutions in minimal iterations only.
format	Article
author	Chowdhury, Md. Sazzad Hossien Razali, Nur Isnida Ali, Sellami Rahman, M. M.
author_facet	Chowdhury, Md. Sazzad Hossien Razali, Nur Isnida Ali, Sellami Rahman, M. M.
author_sort	Chowdhury, Md. Sazzad Hossien
title	An accurate analytic solution for differential and integral equations by modified homotopy perturbation method
title_short	An accurate analytic solution for differential and integral equations by modified homotopy perturbation method
title_full	An accurate analytic solution for differential and integral equations by modified homotopy perturbation method
title_fullStr	An accurate analytic solution for differential and integral equations by modified homotopy perturbation method
title_full_unstemmed	An accurate analytic solution for differential and integral equations by modified homotopy perturbation method
title_sort	accurate analytic solution for differential and integral equations by modified homotopy perturbation method
publisher	IDOSI Publications
publishDate	2013
url	http://irep.iium.edu.my/29640/ http://irep.iium.edu.my/29640/ http://irep.iium.edu.my/29640/ http://irep.iium.edu.my/29640/1/An_accurate_analytic_solution_for_differential_and_integral_equations_by_modified_homotopy_perturbation_method.pdf
first_indexed	2023-09-18T20:43:32Z
last_indexed	2023-09-18T20:43:32Z
_version_	1777409523638599680

An accurate analytic solution for differential and integral equations by modified homotopy perturbation method

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