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...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Universiti Kebangsaan Malaysia
2010
|
| Online Access: | http://journalarticle.ukm.my/7364/ http://journalarticle.ukm.my/7364/1/01_Md_Yeaminhossain.pdf |
| _version_ | 1848811459671228416 |
|---|---|
| author | M.S.H. Chowdhury, I. Hashim, |
| author_facet | M.S.H. Chowdhury, I. Hashim, |
| author_sort | M.S.H. Chowdhury, |
| building | UKM Institutional Repository |
| collection | Online Access |
| 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 | 2025-11-14T23:46:44Z |
| format | Article |
| id | oai:generic.eprints.org:7364 |
| institution | Universiti Kebangasaan Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T23:46:44Z |
| publishDate | 2010 |
| publisher | Universiti Kebangsaan Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | oai:generic.eprints.org:73642016-12-14T06:43:51Z http://journalarticle.ukm.my/7364/ Analytical solution for cauchy reaction-diffusion problems by homotopy perturbation method M.S.H. Chowdhury, I. Hashim, 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. Universiti Kebangsaan Malaysia 2010-06 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/7364/1/01_Md_Yeaminhossain.pdf M.S.H. Chowdhury, and I. Hashim, (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 | M.S.H. Chowdhury, I. Hashim, 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 |
| url | http://journalarticle.ukm.my/7364/ http://journalarticle.ukm.my/7364/ http://journalarticle.ukm.my/7364/1/01_Md_Yeaminhossain.pdf |