Comparing numerical methods for the solution of Cauchy reaction-diffusion problems

In this paper, the solution of Cauchy reaction-diffussion problems is presented by homotopy-perturbation method (HPM). Reaction-difussion equations have special importance in engineering and sciences and constitute a good model for many systems in various fields. The HPM yields an analytical solutio...

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Main Authors:	Chowdhury, Md. Sazzad Hossien, Hashim, Ishak, Ismail, Ahmad Faris
Format:	Conference or Workshop Item
Language:	English
Published:	2009
Subjects:	QA76 Computer software
Online Access:	http://irep.iium.edu.my/6874/ http://irep.iium.edu.my/6874/3/Comparing_numerical_methods_for_the_solution_of_Cauchy_reaction-diffusion_problems.pdf

id	iium-6874
recordtype	eprints
spelling	iium-68742011-12-15T06:33:58Z http://irep.iium.edu.my/6874/ Comparing numerical methods for the solution of Cauchy reaction-diffusion problems Chowdhury, Md. Sazzad Hossien Hashim, Ishak Ismail, Ahmad Faris QA76 Computer software In this paper, the solution of Cauchy reaction-diffussion problems is presented by homotopy-perturbation method (HPM). Reaction-difussion equations have special importance in engineering and sciences and constitute a good model for many systems in various fields. The HPM yields an analytical solution in terms of a rapidly convergent infinite power series with easily computable terms. Comparison between the solutions of HPM and the Adomian decomposition solutions, variational iteration solutions, homotopy analysis solutions and the exact solutions are made. The results reveals that the HPM is a powerful and efficient tool for PDEs. 2009 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/6874/3/Comparing_numerical_methods_for_the_solution_of_Cauchy_reaction-diffusion_problems.pdf Chowdhury, Md. Sazzad Hossien and Hashim, Ishak and Ismail, Ahmad Faris (2009) Comparing numerical methods for the solution of Cauchy reaction-diffusion problems. In: 4th International Conference on Mathematics and Statistics 2009, 13-15 August 2009, Bandar Lampung, Indonesia.
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English
topic	QA76 Computer software
spellingShingle	QA76 Computer software Chowdhury, Md. Sazzad Hossien Hashim, Ishak Ismail, Ahmad Faris Comparing numerical methods for the solution of Cauchy reaction-diffusion problems
description	In this paper, the solution of Cauchy reaction-diffussion problems is presented by homotopy-perturbation method (HPM). Reaction-difussion equations have special importance in engineering and sciences and constitute a good model for many systems in various fields. The HPM yields an analytical solution in terms of a rapidly convergent infinite power series with easily computable terms. Comparison between the solutions of HPM and the Adomian decomposition solutions, variational iteration solutions, homotopy analysis solutions and the exact solutions are made. The results reveals that the HPM is a powerful and efficient tool for PDEs.
format	Conference or Workshop Item
author	Chowdhury, Md. Sazzad Hossien Hashim, Ishak Ismail, Ahmad Faris
author_facet	Chowdhury, Md. Sazzad Hossien Hashim, Ishak Ismail, Ahmad Faris
author_sort	Chowdhury, Md. Sazzad Hossien
title	Comparing numerical methods for the solution of Cauchy reaction-diffusion problems
title_short	Comparing numerical methods for the solution of Cauchy reaction-diffusion problems
title_full	Comparing numerical methods for the solution of Cauchy reaction-diffusion problems
title_fullStr	Comparing numerical methods for the solution of Cauchy reaction-diffusion problems
title_full_unstemmed	Comparing numerical methods for the solution of Cauchy reaction-diffusion problems
title_sort	comparing numerical methods for the solution of cauchy reaction-diffusion problems
publishDate	2009
url	http://irep.iium.edu.my/6874/ http://irep.iium.edu.my/6874/3/Comparing_numerical_methods_for_the_solution_of_Cauchy_reaction-diffusion_problems.pdf
first_indexed	2023-09-18T20:16:02Z
last_indexed	2023-09-18T20:16:02Z
_version_	1777407793600397312

Comparing numerical methods for the solution of Cauchy reaction-diffusion problems

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