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:	Chowdhury, Md. Sazzad Hossien, Hashim, Ishak
Format:	Article
Language:	English
Published:	Penerbit UKM 2010
Subjects:	QA Mathematics
Online Access:	http://irep.iium.edu.my/1320/ http://irep.iium.edu.my/1320/ http://irep.iium.edu.my/1320/1/Analytical_Solution_for_Cauchy_Reaction-Diffusion_Problems_by_Homotopy_Perturbation_Method.pdf

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recordtype	eprints
spelling	iium-13202011-08-08T07:22:35Z http://irep.iium.edu.my/1320/ Analytical solution for cauchy reaction-diffusion problems by homotopy perturbation method Chowdhury, Md. Sazzad Hossien Hashim, Ishak QA Mathematics 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. Penerbit UKM 2010 Article PeerReviewed application/pdf en http://irep.iium.edu.my/1320/1/Analytical_Solution_for_Cauchy_Reaction-Diffusion_Problems_by_Homotopy_Perturbation_Method.pdf Chowdhury, Md. Sazzad Hossien and Hashim, Ishak (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	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English
topic	QA Mathematics
spellingShingle	QA Mathematics Chowdhury, Md. Sazzad Hossien Hashim, Ishak Analytical solution for cauchy reaction-diffusion problems by homotopy perturbation method
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	Chowdhury, Md. Sazzad Hossien Hashim, Ishak
author_facet	Chowdhury, Md. Sazzad Hossien Hashim, Ishak
author_sort	Chowdhury, Md. Sazzad Hossien
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	Penerbit UKM
publishDate	2010
url	http://irep.iium.edu.my/1320/ http://irep.iium.edu.my/1320/ http://irep.iium.edu.my/1320/1/Analytical_Solution_for_Cauchy_Reaction-Diffusion_Problems_by_Homotopy_Perturbation_Method.pdf
first_indexed	2023-09-18T20:08:35Z
last_indexed	2023-09-18T20:08:35Z
_version_	1777407324544040960

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

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