Analytic treatment of differential equations by modified homotopy perturbation method

Analytic treatment of differential equations by modified homotopy perturbation method

In this paper, the modified homotopy perturbation method is applied for analytical treatment of differential equations. The modified HPM yields an analytical solution in terms of a rapidly convergent infinite power series with easily computable terms. The efficiency of the modified technique is exam...

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Main Authors: Chowdhury, Md. Sazzad Hossien, Razali, Nur Isnida, Sellami , Ali, Rahman, M. M.
Format: Conference or Workshop Item
Language:English
Published: 2012
Subjects:
QA Mathematics
Online Access:http://irep.iium.edu.my/26441/
http://irep.iium.edu.my/26441/1/ANALYTIC_TREATMENT_OF_DIFFERENTIAL_EQUATIONS_BY_MODIFIED_HOMOTOPY_PERTURBATION_METHOD.pdf
id iium-26441
recordtype eprints
spelling iium-264412012-12-04T06:09:13Z http://irep.iium.edu.my/26441/ Analytic treatment of differential equations by modified homotopy perturbation method Chowdhury, Md. Sazzad Hossien Razali, Nur Isnida Sellami , Ali Rahman, M. M. QA Mathematics In this paper, the modified homotopy perturbation method is applied for analytical treatment of differential equations. The modified HPM yields an analytical solution in terms of a rapidly convergent infinite power series with easily computable terms. The efficiency of the modified technique is examined by several illustrative examples. In all cases of differential equations, the modified HPM yields the exact solutions in two iterations only. 2012 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/26441/1/ANALYTIC_TREATMENT_OF_DIFFERENTIAL_EQUATIONS_BY_MODIFIED_HOMOTOPY_PERTURBATION_METHOD.pdf Chowdhury, Md. Sazzad Hossien and Razali, Nur Isnida and Sellami , Ali and Rahman, M. M. (2012) Analytic treatment of differential equations by modified homotopy perturbation method. In: Proceedings of the 2nd International Conference on Mathematical Applications in Engineering (ICMAE2012), 3-5 July 2012, Kuala Lumpur, Malaysia.
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
topic QA Mathematics
spellingShingle QA Mathematics
Chowdhury, Md. Sazzad Hossien
Razali, Nur Isnida
Sellami , Ali
Rahman, M. M.
Analytic treatment of differential equations by modified homotopy perturbation method
description In this paper, the modified homotopy perturbation method is applied for analytical treatment of differential equations. The modified HPM yields an analytical solution in terms of a rapidly convergent infinite power series with easily computable terms. The efficiency of the modified technique is examined by several illustrative examples. In all cases of differential equations, the modified HPM yields the exact solutions in two iterations only.
format Conference or Workshop Item
author Chowdhury, Md. Sazzad Hossien
Razali, Nur Isnida
Sellami , Ali
Rahman, M. M.
author_facet Chowdhury, Md. Sazzad Hossien
Razali, Nur Isnida
Sellami , Ali
Rahman, M. M.
author_sort Chowdhury, Md. Sazzad Hossien
title Analytic treatment of differential equations by modified homotopy perturbation method
title_short Analytic treatment of differential equations by modified homotopy perturbation method
title_full Analytic treatment of differential equations by modified homotopy perturbation method
title_fullStr Analytic treatment of differential equations by modified homotopy perturbation method
title_full_unstemmed Analytic treatment of differential equations by modified homotopy perturbation method
title_sort analytic treatment of differential equations by modified homotopy perturbation method
publishDate 2012
url http://irep.iium.edu.my/26441/
http://irep.iium.edu.my/26441/1/ANALYTIC_TREATMENT_OF_DIFFERENTIAL_EQUATIONS_BY_MODIFIED_HOMOTOPY_PERTURBATION_METHOD.pdf
first_indexed 2023-09-18T20:39:24Z
last_indexed 2023-09-18T20:39:24Z
_version_ 1777409263817195520

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