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...
| Main Authors: | , , |
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| Format: | Proceeding Paper |
| Language: | English |
| Published: |
2009
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| Subjects: | |
| 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 |
| _version_ | 1848776744117469184 |
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| 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 |
| building | IIUM Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-14T14:34:57Z |
| format | Proceeding Paper |
| id | iium-6874 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:34:57Z |
| publishDate | 2009 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-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 Proceeding Paper 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. |
| spellingShingle | QA76 Computer software Chowdhury, Md. Sazzad Hossien Hashim, Ishak Ismail, Ahmad Faris Comparing numerical methods for the solution of Cauchy reaction-diffusion problems |
| title | 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_short | Comparing numerical methods for the solution of Cauchy reaction-diffusion problems |
| title_sort | comparing numerical methods for the solution of cauchy reaction-diffusion problems |
| topic | QA76 Computer software |
| 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 |