A new reliable algorithm for analytical treatment of differential and integral equations

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 efficie...

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Main Authors:	Chowdhury, Md. Sazzad Hossien, Razali, NurIsnida, Ali, Sellami, Rahman, Mohammad Mustafizur
Format:	Conference or Workshop Item
Language:	English English
Published:	2013
Subjects:	QA76 Computer software
Online Access:	http://irep.iium.edu.my/29529/ http://irep.iium.edu.my/29529/7/poster-drsazzad-edit.pdf http://irep.iium.edu.my/29529/10/sazzad_IRIIE2013.pdf

id	iium-29529
recordtype	eprints
spelling	iium-295292014-10-15T02:13:43Z http://irep.iium.edu.my/29529/ A new reliable algorithm for analytical treatment of differential and integral equations Chowdhury, Md. Sazzad Hossien Razali, NurIsnida Ali, Sellami Rahman, Mohammad Mustafizur 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. 2013 Conference or Workshop Item NonPeerReviewed application/pdf en http://irep.iium.edu.my/29529/7/poster-drsazzad-edit.pdf application/pdf en http://irep.iium.edu.my/29529/10/sazzad_IRIIE2013.pdf Chowdhury, Md. Sazzad Hossien and Razali, NurIsnida and Ali, Sellami and Rahman, Mohammad Mustafizur (2013) A new reliable algorithm for analytical treatment of differential and integral equations. In: IIUM Research, Innovation & Invention Exhibition (IRIIE 2013), 19-20 February 2010, Kuala Lumpur.
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 Razali, NurIsnida Ali, Sellami Rahman, Mohammad Mustafizur A new reliable algorithm for analytical treatment of differential and integral equations
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	Conference or Workshop Item
author	Chowdhury, Md. Sazzad Hossien Razali, NurIsnida Ali, Sellami Rahman, Mohammad Mustafizur
author_facet	Chowdhury, Md. Sazzad Hossien Razali, NurIsnida Ali, Sellami Rahman, Mohammad Mustafizur
author_sort	Chowdhury, Md. Sazzad Hossien
title	A new reliable algorithm for analytical treatment of differential and integral equations
title_short	A new reliable algorithm for analytical treatment of differential and integral equations
title_full	A new reliable algorithm for analytical treatment of differential and integral equations
title_fullStr	A new reliable algorithm for analytical treatment of differential and integral equations
title_full_unstemmed	A new reliable algorithm for analytical treatment of differential and integral equations
title_sort	new reliable algorithm for analytical treatment of differential and integral equations
publishDate	2013
url	http://irep.iium.edu.my/29529/ http://irep.iium.edu.my/29529/7/poster-drsazzad-edit.pdf http://irep.iium.edu.my/29529/10/sazzad_IRIIE2013.pdf
first_indexed	2023-09-18T20:43:21Z
last_indexed	2023-09-18T20:43:21Z
_version_	1777409512328658944

A new reliable algorithm for analytical treatment of differential and integral equations

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