A reliable modification of the homotopy perturbation method for differential and integral equations
In this paper, a new reliable modification of the homotopy perturbation method (HPM) is introduced and applied to the differential and integral equations. A comparative study between the modified homotopy method (MHPM) and the standard HPM is conducted. The efficiency of the modified technique...
| Main Authors: | , , |
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| Format: | Proceeding Paper |
| Language: | English English |
| Published: |
2012
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/28458/ http://irep.iium.edu.my/28458/1/A_RELIABLE_MODIFICATION_OF_THE_HOMOTOPY_PERTURBATION_METHOD_FOR_DIFFERENTIAL_AND_INTEGRAL_EQUATIONS.pdf http://irep.iium.edu.my/28458/2/RCAEM-II-2012-Cover_pages.pdf |
| _version_ | 1848779968157319168 |
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| author | Chowdhury, Md. Sazzad Hossien Hashim, Ishak Rahman, M. M. |
| author_facet | Chowdhury, Md. Sazzad Hossien Hashim, Ishak Rahman, M. M. |
| author_sort | Chowdhury, Md. Sazzad Hossien |
| building | IIUM Repository |
| collection | Online Access |
| description | In this paper, a new reliable modification of the
homotopy perturbation method (HPM) is introduced and
applied to the differential and integral equations. A
comparative study between the modified homotopy method
(MHPM) and the standard HPM is conducted. The efficiency
of the modified technique is examined by several illustrative
examples. In all cases of differential and integral equations,
the modified HPM yields the exact solutions in two iterations
only. |
| first_indexed | 2025-11-14T15:26:12Z |
| format | Proceeding Paper |
| id | iium-28458 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-14T15:26:12Z |
| publishDate | 2012 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-284582016-01-04T01:15:47Z http://irep.iium.edu.my/28458/ A reliable modification of the homotopy perturbation method for differential and integral equations Chowdhury, Md. Sazzad Hossien Hashim, Ishak Rahman, M. M. QA76 Computer software In this paper, a new reliable modification of the homotopy perturbation method (HPM) is introduced and applied to the differential and integral equations. A comparative study between the modified homotopy method (MHPM) and the standard HPM is conducted. The efficiency of the modified technique is examined by several illustrative examples. In all cases of differential and integral equations, the modified HPM yields the exact solutions in two iterations only. 2012 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/28458/1/A_RELIABLE_MODIFICATION_OF_THE_HOMOTOPY_PERTURBATION_METHOD_FOR_DIFFERENTIAL_AND_INTEGRAL_EQUATIONS.pdf application/pdf en http://irep.iium.edu.my/28458/2/RCAEM-II-2012-Cover_pages.pdf Chowdhury, Md. Sazzad Hossien and Hashim, Ishak and Rahman, M. M. (2012) A reliable modification of the homotopy perturbation method for differential and integral equations. In: 2nd Regional Conference on Applied and Engineering Mathematics (RCAEM-II) 2012, 30-31 May, 2012, Penang, Malaysia. |
| spellingShingle | QA76 Computer software Chowdhury, Md. Sazzad Hossien Hashim, Ishak Rahman, M. M. A reliable modification of the homotopy perturbation method for differential and integral equations |
| title | A reliable modification of the homotopy perturbation method for differential and integral equations |
| title_full | A reliable modification of the homotopy perturbation method for differential and integral equations |
| title_fullStr | A reliable modification of the homotopy perturbation method for differential and integral equations |
| title_full_unstemmed | A reliable modification of the homotopy perturbation method for differential and integral equations |
| title_short | A reliable modification of the homotopy perturbation method for differential and integral equations |
| title_sort | reliable modification of the homotopy perturbation method for differential and integral equations |
| topic | QA76 Computer software |
| url | http://irep.iium.edu.my/28458/ http://irep.iium.edu.my/28458/1/A_RELIABLE_MODIFICATION_OF_THE_HOMOTOPY_PERTURBATION_METHOD_FOR_DIFFERENTIAL_AND_INTEGRAL_EQUATIONS.pdf http://irep.iium.edu.my/28458/2/RCAEM-II-2012-Cover_pages.pdf |