An accurate analytic solution for differential and integral equations by modified homotopy perturbation method
In this paper, the new modified Homotopy Perturbation Method (HPM) is applied for analytical treatment of differential equations and integral equations. The new modified HPM yields an analytical solution in terms of a rapidly convergent infinite power series with easily computable terms. The effic...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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IDOSI Publications
2013
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/29640/ http://irep.iium.edu.my/29640/1/An_accurate_analytic_solution_for_differential_and_integral_equations_by_modified_homotopy_perturbation_method.pdf |
| _version_ | 1848780161634271232 |
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| author | Chowdhury, Md. Sazzad Hossien Razali, Nur Isnida Ali, Sellami Rahman, M. M. |
| author_facet | Chowdhury, Md. Sazzad Hossien Razali, Nur Isnida Ali, Sellami Rahman, M. M. |
| author_sort | Chowdhury, Md. Sazzad Hossien |
| building | IIUM Repository |
| collection | Online Access |
| description | In this paper, the new modified Homotopy Perturbation Method (HPM) is applied for analytical
treatment of differential equations and integral equations. The new modified HPM yields an analytical
solution in terms of a rapidly convergent infinite power series with easily computable terms. The efficiency
of the new modified technique is examined by several illustrative examples. In all cases of differential and
integral equations, the new modified HPM yields the exact solutions in minimal iterations only. |
| first_indexed | 2025-11-14T15:29:16Z |
| format | Article |
| id | iium-29640 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T15:29:16Z |
| publishDate | 2013 |
| publisher | IDOSI Publications |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-296402013-04-19T08:27:21Z http://irep.iium.edu.my/29640/ An accurate analytic solution for differential and integral equations by modified homotopy perturbation method Chowdhury, Md. Sazzad Hossien Razali, Nur Isnida Ali, Sellami Rahman, M. M. QA76 Computer software In this paper, the new modified Homotopy Perturbation Method (HPM) is applied for analytical treatment of differential equations and integral equations. The new modified HPM yields an analytical solution in terms of a rapidly convergent infinite power series with easily computable terms. The efficiency of the new modified technique is examined by several illustrative examples. In all cases of differential and integral equations, the new modified HPM yields the exact solutions in minimal iterations only. IDOSI Publications 2013 Article PeerReviewed application/pdf en http://irep.iium.edu.my/29640/1/An_accurate_analytic_solution_for_differential_and_integral_equations_by_modified_homotopy_perturbation_method.pdf Chowdhury, Md. Sazzad Hossien and Razali, Nur Isnida and Ali, Sellami and Rahman, M. M. (2013) An accurate analytic solution for differential and integral equations by modified homotopy perturbation method. Middle East Journal of Scientific Research (MEJSR), 13. 50-58. ISSN 1990-9233 http://www.idosi.org/mejsr/online.htm 10.5829/idosi.mejsr.2013.13.mae.99916 |
| spellingShingle | QA76 Computer software Chowdhury, Md. Sazzad Hossien Razali, Nur Isnida Ali, Sellami Rahman, M. M. An accurate analytic solution for differential and integral equations by modified homotopy perturbation method |
| title | An accurate analytic solution for differential and integral equations by modified homotopy perturbation method |
| title_full | An accurate analytic solution for differential and integral equations by modified homotopy perturbation method |
| title_fullStr | An accurate analytic solution for differential and integral equations by modified homotopy perturbation method |
| title_full_unstemmed | An accurate analytic solution for differential and integral equations by modified homotopy perturbation method |
| title_short | An accurate analytic solution for differential and integral equations by modified homotopy perturbation method |
| title_sort | accurate analytic solution for differential and integral equations by modified homotopy perturbation method |
| topic | QA76 Computer software |
| url | http://irep.iium.edu.my/29640/ http://irep.iium.edu.my/29640/ http://irep.iium.edu.my/29640/ http://irep.iium.edu.my/29640/1/An_accurate_analytic_solution_for_differential_and_integral_equations_by_modified_homotopy_perturbation_method.pdf |