Solutions of a class of singular second-order IVPs by homotopy-perturbation method
In this Letter, solutions of a class of singular initial value problems (IVPs) in the second-order ordinary differential equations (ODEs) by homotopy-perturbation method (HPM) are presented. HPM yields solutions in convergent series forms with easily computable terms, and in some cases, yields exa...
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| Format: | Article |
| Language: | English |
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Elsevier
2007
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| Online Access: | http://irep.iium.edu.my/6655/ http://irep.iium.edu.my/6655/1/Solutions_of_a_class_of_singular_second-order_IVPs_by_homotopy-perturbation_method.pdf |
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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 |
| building | IIUM Repository |
| collection | Online Access |
| description | In this Letter, solutions of a class of singular initial value problems (IVPs) in the second-order ordinary differential equations (ODEs) by
homotopy-perturbation method (HPM) are presented. HPM yields solutions in convergent series forms with easily computable terms, and in some
cases, yields exact solutions in one iteration. Comparisons with the exact solutions and the solutions obtained by the decomposition method show
the potential of HPM in solving singular problems. |
| first_indexed | 2025-11-14T14:34:22Z |
| format | Article |
| id | iium-6655 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:34:22Z |
| publishDate | 2007 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-66552011-12-02T08:09:09Z http://irep.iium.edu.my/6655/ Solutions of a class of singular second-order IVPs by homotopy-perturbation method Chowdhury, Md. Sazzad Hossien Hashim, Ishak QA76 Computer software In this Letter, solutions of a class of singular initial value problems (IVPs) in the second-order ordinary differential equations (ODEs) by homotopy-perturbation method (HPM) are presented. HPM yields solutions in convergent series forms with easily computable terms, and in some cases, yields exact solutions in one iteration. Comparisons with the exact solutions and the solutions obtained by the decomposition method show the potential of HPM in solving singular problems. Elsevier 2007 Article PeerReviewed application/pdf en http://irep.iium.edu.my/6655/1/Solutions_of_a_class_of_singular_second-order_IVPs_by_homotopy-perturbation_method.pdf Chowdhury, Md. Sazzad Hossien and Hashim, Ishak (2007) Solutions of a class of singular second-order IVPs by homotopy-perturbation method. Physics Letters A, 365. pp. 439-447. ISSN 0375-9601 http://www.journals.elsevier.com/physics-letters-a/ |
| spellingShingle | QA76 Computer software Chowdhury, Md. Sazzad Hossien Hashim, Ishak Solutions of a class of singular second-order IVPs by homotopy-perturbation method |
| title | Solutions of a class of singular second-order IVPs by homotopy-perturbation method |
| title_full | Solutions of a class of singular second-order IVPs by homotopy-perturbation method |
| title_fullStr | Solutions of a class of singular second-order IVPs by homotopy-perturbation method |
| title_full_unstemmed | Solutions of a class of singular second-order IVPs by homotopy-perturbation method |
| title_short | Solutions of a class of singular second-order IVPs by homotopy-perturbation method |
| title_sort | solutions of a class of singular second-order ivps by homotopy-perturbation method |
| topic | QA76 Computer software |
| url | http://irep.iium.edu.my/6655/ http://irep.iium.edu.my/6655/ http://irep.iium.edu.my/6655/1/Solutions_of_a_class_of_singular_second-order_IVPs_by_homotopy-perturbation_method.pdf |