Analytical solution for cauchy reaction-diffusion problems by homotopy perturbation method

In this paper, the homotopy-perturbation method (HPM) is applied to obtain approximate analytical solutions for the Cauchy reaction-diffusion problems. HPM yields solutions in convergent series forms with easily computable terms. The HPM is tested for several examples. Comparisons of the results obt...

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Main Authors:	M.S.H. Chowdhury, I. Hashim
Format:	Article
Language:	English
Published:	Universiti Kebangsaan Malaysia 2010
Online Access:	http://journalarticle.ukm.my/7364/1/01_Md_Yeaminhossain.pdf http://journalarticle.ukm.my/7364/ http://www.ukm.my/jsm/english_journals/vol39num3_2010/contentsVol39num3_2010.html
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Institution:	Universiti Kebangsaan Malaysia
Language:	English

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spelling	my-ukm.journal.73642016-12-14T06:43:51Z http://journalarticle.ukm.my/7364/ Analytical solution for cauchy reaction-diffusion problems by homotopy perturbation method M.S.H. Chowdhury, I. Hashim, In this paper, the homotopy-perturbation method (HPM) is applied to obtain approximate analytical solutions for the Cauchy reaction-diffusion problems. HPM yields solutions in convergent series forms with easily computable terms. The HPM is tested for several examples. Comparisons of the results obtained by the HPM with that obtained by the Adomian decomposition method (ADM), homotopy analysis method (HAM) and the exact solutions show the efficiency of HPM. Universiti Kebangsaan Malaysia 2010-06 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/7364/1/01_Md_Yeaminhossain.pdf M.S.H. Chowdhury, and I. Hashim, (2010) Analytical solution for cauchy reaction-diffusion problems by homotopy perturbation method. Sains Malaysiana, 39 (3). pp. 495-504. ISSN 0126-6039 http://www.ukm.my/jsm/english_journals/vol39num3_2010/contentsVol39num3_2010.html
institution	Universiti Kebangsaan Malaysia
building	Perpustakaan Tun Sri Lanang Library
collection	Institutional Repository
continent	Asia
country	Malaysia
content_provider	Universiti Kebangsaan Malaysia
content_source	UKM Journal Article Repository
url_provider	http://journalarticle.ukm.my/
language	English
description	In this paper, the homotopy-perturbation method (HPM) is applied to obtain approximate analytical solutions for the Cauchy reaction-diffusion problems. HPM yields solutions in convergent series forms with easily computable terms. The HPM is tested for several examples. Comparisons of the results obtained by the HPM with that obtained by the Adomian decomposition method (ADM), homotopy analysis method (HAM) and the exact solutions show the efficiency of HPM.
format	Article
author	M.S.H. Chowdhury, I. Hashim,
spellingShingle	M.S.H. Chowdhury, I. Hashim, Analytical solution for cauchy reaction-diffusion problems by homotopy perturbation method
author_facet	M.S.H. Chowdhury, I. Hashim,
author_sort	M.S.H. Chowdhury,
title	Analytical solution for cauchy reaction-diffusion problems by homotopy perturbation method
title_short	Analytical solution for cauchy reaction-diffusion problems by homotopy perturbation method
title_full	Analytical solution for cauchy reaction-diffusion problems by homotopy perturbation method
title_fullStr	Analytical solution for cauchy reaction-diffusion problems by homotopy perturbation method
title_full_unstemmed	Analytical solution for cauchy reaction-diffusion problems by homotopy perturbation method
title_sort	analytical solution for cauchy reaction-diffusion problems by homotopy perturbation method
publisher	Universiti Kebangsaan Malaysia
publishDate	2010
url	http://journalarticle.ukm.my/7364/1/01_Md_Yeaminhossain.pdf http://journalarticle.ukm.my/7364/ http://www.ukm.my/jsm/english_journals/vol39num3_2010/contentsVol39num3_2010.html
_version_	1643737103500050432

Analytical solution for cauchy reaction-diffusion problems by homotopy perturbation method

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