A reliable modification of the homotopy perturbation method for differential and integral equations

In this paper, a new reliable modification of the homotopy perturbation method (HPM) is introduced and applied to the differential and integral equations. A comparative study between the modified homotopy method (MHPM) and the standard HPM is conducted. The efficiency of the modified technique...

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Main Authors: Chowdhury, Md. Sazzad Hossien, Hashim, Ishak, Rahman, M. M.
Format: Conference or Workshop Item
Language:English
English
Published: 2012
Subjects:
Online Access:http://irep.iium.edu.my/28458/
http://irep.iium.edu.my/28458/1/A_RELIABLE_MODIFICATION_OF_THE_HOMOTOPY_PERTURBATION_METHOD_FOR_DIFFERENTIAL_AND_INTEGRAL_EQUATIONS.pdf
http://irep.iium.edu.my/28458/2/RCAEM-II-2012-Cover_pages.pdf
id iium-28458
recordtype eprints
spelling iium-284582016-01-04T01:15:47Z http://irep.iium.edu.my/28458/ A reliable modification of the homotopy perturbation method for differential and integral equations Chowdhury, Md. Sazzad Hossien Hashim, Ishak Rahman, M. M. QA76 Computer software In this paper, a new reliable modification of the homotopy perturbation method (HPM) is introduced and applied to the differential and integral equations. A comparative study between the modified homotopy method (MHPM) and the standard HPM is conducted. The efficiency of the modified technique is examined by several illustrative examples. In all cases of differential and integral 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/28458/1/A_RELIABLE_MODIFICATION_OF_THE_HOMOTOPY_PERTURBATION_METHOD_FOR_DIFFERENTIAL_AND_INTEGRAL_EQUATIONS.pdf application/pdf en http://irep.iium.edu.my/28458/2/RCAEM-II-2012-Cover_pages.pdf Chowdhury, Md. Sazzad Hossien and Hashim, Ishak and Rahman, M. M. (2012) A reliable modification of the homotopy perturbation method for differential and integral equations. In: 2nd Regional Conference on Applied and Engineering Mathematics (RCAEM-II) 2012, 30-31 May, 2012, Penang, Malaysia.
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
English
topic QA76 Computer software
spellingShingle QA76 Computer software
Chowdhury, Md. Sazzad Hossien
Hashim, Ishak
Rahman, M. M.
A reliable modification of the homotopy perturbation method for differential and integral equations
description In this paper, a new reliable modification of the homotopy perturbation method (HPM) is introduced and applied to the differential and integral equations. A comparative study between the modified homotopy method (MHPM) and the standard HPM is conducted. The efficiency of the modified technique is examined by several illustrative examples. In all cases of differential and integral equations, the modified HPM yields the exact solutions in two iterations only.
format Conference or Workshop Item
author Chowdhury, Md. Sazzad Hossien
Hashim, Ishak
Rahman, M. M.
author_facet Chowdhury, Md. Sazzad Hossien
Hashim, Ishak
Rahman, M. M.
author_sort Chowdhury, Md. Sazzad Hossien
title A reliable modification of the homotopy perturbation method for differential and integral equations
title_short A reliable modification of the homotopy perturbation method for differential and integral equations
title_full A reliable modification of the homotopy perturbation method for differential and integral equations
title_fullStr A reliable modification of the homotopy perturbation method for differential and integral equations
title_full_unstemmed A reliable modification of the homotopy perturbation method for differential and integral equations
title_sort reliable modification of the homotopy perturbation method for differential and integral equations
publishDate 2012
url http://irep.iium.edu.my/28458/
http://irep.iium.edu.my/28458/1/A_RELIABLE_MODIFICATION_OF_THE_HOMOTOPY_PERTURBATION_METHOD_FOR_DIFFERENTIAL_AND_INTEGRAL_EQUATIONS.pdf
http://irep.iium.edu.my/28458/2/RCAEM-II-2012-Cover_pages.pdf
first_indexed 2023-09-18T20:41:58Z
last_indexed 2023-09-18T20:41:58Z
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