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/ http://journalarticle.ukm.my/7364/ http://journalarticle.ukm.my/7364/1/01_Md_Yeaminhossain.pdf

id	ukm-7364
recordtype	eprints
spelling	ukm-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
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Kebangasaan Malaysia
building	UKM Institutional Repository
collection	Online Access
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/ http://journalarticle.ukm.my/7364/ http://journalarticle.ukm.my/7364/1/01_Md_Yeaminhossain.pdf
first_indexed	2023-09-18T19:49:30Z
last_indexed	2023-09-18T19:49:30Z
_version_	1777406124751847424

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

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