Solving variational problems by homotopy–perturbation method

In this paper, we consider some problems in calculus of variations. Homotopy–perturbation method (HPM) is adopted to obtain approximate analytical solutions to variational problems. The solutions are obtained in the form of rapidly convergent infinite series with easily computable terms. Numerical r...

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Main Authors:	Abdulaziz, O., Hashim, Ishak, Chowdhury, Md. Sazzad Hossien
Format:	Article
Language:	English
Published:	John Wiley & Sons Inc. 2008
Subjects:	QA76 Computer software
Online Access:	http://irep.iium.edu.my/6661/ http://irep.iium.edu.my/6661/ http://irep.iium.edu.my/6661/1/Solving_variational_problems_by_homotopy-perturbation_method.pdf

id	iium-6661
recordtype	eprints
spelling	iium-66612011-12-02T08:13:59Z http://irep.iium.edu.my/6661/ Solving variational problems by homotopy–perturbation method Abdulaziz, O. Hashim, Ishak Chowdhury, Md. Sazzad Hossien QA76 Computer software In this paper, we consider some problems in calculus of variations. Homotopy–perturbation method (HPM) is adopted to obtain approximate analytical solutions to variational problems. The solutions are obtained in the form of rapidly convergent infinite series with easily computable terms. Numerical results reveal that HPM is very effective and simple for obtaining approximate solutions to variational problems. Copyright © 2008 John Wiley & Sons, Ltd. John Wiley & Sons Inc. 2008 Article PeerReviewed application/pdf en http://irep.iium.edu.my/6661/1/Solving_variational_problems_by_homotopy-perturbation_method.pdf Abdulaziz, O. and Hashim, Ishak and Chowdhury, Md. Sazzad Hossien (2008) Solving variational problems by homotopy–perturbation method. International Journal For Numerical Methods In Engineering , 75. pp. 7709-721. ISSN 1097-0207 (O) , 0029-5981 http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0207
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 Abdulaziz, O. Hashim, Ishak Chowdhury, Md. Sazzad Hossien Solving variational problems by homotopy–perturbation method
description	In this paper, we consider some problems in calculus of variations. Homotopy–perturbation method (HPM) is adopted to obtain approximate analytical solutions to variational problems. The solutions are obtained in the form of rapidly convergent infinite series with easily computable terms. Numerical results reveal that HPM is very effective and simple for obtaining approximate solutions to variational problems. Copyright © 2008 John Wiley & Sons, Ltd.
format	Article
author	Abdulaziz, O. Hashim, Ishak Chowdhury, Md. Sazzad Hossien
author_facet	Abdulaziz, O. Hashim, Ishak Chowdhury, Md. Sazzad Hossien
author_sort	Abdulaziz, O.
title	Solving variational problems by homotopy–perturbation method
title_short	Solving variational problems by homotopy–perturbation method
title_full	Solving variational problems by homotopy–perturbation method
title_fullStr	Solving variational problems by homotopy–perturbation method
title_full_unstemmed	Solving variational problems by homotopy–perturbation method
title_sort	solving variational problems by homotopy–perturbation method
publisher	John Wiley & Sons Inc.
publishDate	2008
url	http://irep.iium.edu.my/6661/ http://irep.iium.edu.my/6661/ http://irep.iium.edu.my/6661/1/Solving_variational_problems_by_homotopy-perturbation_method.pdf
first_indexed	2023-09-18T20:15:44Z
last_indexed	2023-09-18T20:15:44Z
_version_	1777407775156994048

Solving variational problems by homotopy–perturbation method

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