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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| Format: | Article |
| Language: | English |
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Penerbit UKM
2010
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| Online Access: | http://irep.iium.edu.my/1320/1/Analytical_Solution_for_Cauchy_Reaction-Diffusion_Problems_by_Homotopy_Perturbation_Method.pdf |
| _version_ | 1825644165573115904 |
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| author | Chowdhury, Md. Sazzad Hossien Hashim, Ishak |
| author_facet | Chowdhury, Md. Sazzad Hossien Hashim, Ishak |
| author_sort | Chowdhury, Md. Sazzad Hossien |
| collection | IIUM |
| 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. |
| first_indexed | 2024-03-05T22:29:05Z |
| format | Article |
| id | oai:generic.eprints.org:1320 |
| institution | International Islamic University Malaysia |
| language | English |
| last_indexed | 2024-03-05T22:29:05Z |
| publishDate | 2010 |
| publisher | Penerbit UKM |
| record_format | dspace |
| spelling | oai:generic.eprints.org: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 |
| spellingShingle | QA Mathematics Chowdhury, Md. Sazzad Hossien Hashim, Ishak Analytical solution for cauchy reaction-diffusion problems by homotopy perturbation method |
| title | 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_short | Analytical solution for cauchy reaction-diffusion problems by homotopy perturbation method |
| title_sort | analytical solution for cauchy reaction diffusion problems by homotopy perturbation method |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/1320/1/Analytical_Solution_for_Cauchy_Reaction-Diffusion_Problems_by_Homotopy_Perturbation_Method.pdf |
| work_keys_str_mv | AT chowdhurymdsazzadhossien analyticalsolutionforcauchyreactiondiffusionproblemsbyhomotopyperturbationmethod AT hashimishak analyticalsolutionforcauchyreactiondiffusionproblemsbyhomotopyperturbationmethod |