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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/6874/3/Comparing_numerical_methods_for_the_solution_of_Cauchy_reaction-diffusion_problems.pdf
http://irep.iium.edu.my/6874/
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spelling my.iium.irep.68742020-06-16T07:17:19Z 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.
institution Universiti Islam Antarabangsa Malaysia
building IIUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider International Islamic University Malaysia
content_source IIUM Repository (IREP)
url_provider http://irep.iium.edu.my/
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/6874/3/Comparing_numerical_methods_for_the_solution_of_Cauchy_reaction-diffusion_problems.pdf
http://irep.iium.edu.my/6874/
_version_ 1672610060084183040
score 13.211869

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