A new reliable algorithm for analytical treatment of differential and integral equations
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 efficie...
| Main Authors: | , , , |
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| Format: | Proceeding Paper |
| Language: | English English |
| Published: |
2013
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/29529/ http://irep.iium.edu.my/29529/7/poster-drsazzad-edit.pdf http://irep.iium.edu.my/29529/10/sazzad_IRIIE2013.pdf |
| _version_ | 1848780140075548672 |
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| author | Chowdhury, Md. Sazzad Hossien Razali, NurIsnida Ali, Sellami Rahman, Mohammad Mustafizur |
| author_facet | Chowdhury, Md. Sazzad Hossien Razali, NurIsnida Ali, Sellami Rahman, Mohammad Mustafizur |
| 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 | 2025-11-14T15:28:56Z |
| format | Proceeding Paper |
| id | iium-29529 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-14T15:28:56Z |
| publishDate | 2013 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-295292014-10-15T02:13:43Z http://irep.iium.edu.my/29529/ A new reliable algorithm for analytical treatment of differential and integral equations Chowdhury, Md. Sazzad Hossien Razali, NurIsnida Ali, Sellami Rahman, Mohammad Mustafizur 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. 2013 Proceeding Paper NonPeerReviewed application/pdf en http://irep.iium.edu.my/29529/7/poster-drsazzad-edit.pdf application/pdf en http://irep.iium.edu.my/29529/10/sazzad_IRIIE2013.pdf Chowdhury, Md. Sazzad Hossien and Razali, NurIsnida and Ali, Sellami and Rahman, Mohammad Mustafizur (2013) A new reliable algorithm for analytical treatment of differential and integral equations. In: IIUM Research, Innovation & Invention Exhibition (IRIIE 2013), 19-20 February 2010, Kuala Lumpur. |
| spellingShingle | QA76 Computer software Chowdhury, Md. Sazzad Hossien Razali, NurIsnida Ali, Sellami Rahman, Mohammad Mustafizur A new reliable algorithm for analytical treatment of differential and integral equations |
| title | A new reliable algorithm for analytical treatment of differential and integral equations |
| title_full | A new reliable algorithm for analytical treatment of differential and integral equations |
| title_fullStr | A new reliable algorithm for analytical treatment of differential and integral equations |
| title_full_unstemmed | A new reliable algorithm for analytical treatment of differential and integral equations |
| title_short | A new reliable algorithm for analytical treatment of differential and integral equations |
| title_sort | new reliable algorithm for analytical treatment of differential and integral equations |
| topic | QA76 Computer software |
| url | http://irep.iium.edu.my/29529/ http://irep.iium.edu.my/29529/7/poster-drsazzad-edit.pdf http://irep.iium.edu.my/29529/10/sazzad_IRIIE2013.pdf |