Solutions of time-dependent Emden–Fowler type equations by homotopy-perturbation method
In this Letter, we apply the homotopy-perturbation method (HPM) to obtain approximate analytical solutions of the time-dependent Emden– Fowler type equations. We also present a reliable new algorithm based on HPM to overcome the difficulty of the singular point at x = 0. The analysis is accompanie...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2007
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/6659/ http://irep.iium.edu.my/6659/1/Solutions_of_time-dependent_Emden%E2%80%93Fowler_type_equations_by_homotopy-perturbation_method.pdf |
| _version_ | 1848776708375707648 |
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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, we apply the homotopy-perturbation method (HPM) to obtain approximate analytical solutions of the time-dependent Emden–
Fowler type equations. We also present a reliable new algorithm based on HPM to overcome the difficulty of the singular point at x = 0. The
analysis is accompanied by some linear and nonlinear time-dependent singular initial value problems. The results prove that HPM is very effective
and simple. |
| first_indexed | 2025-11-14T14:34:23Z |
| format | Article |
| id | iium-6659 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:34:23Z |
| publishDate | 2007 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-66592013-06-19T08:37:16Z http://irep.iium.edu.my/6659/ Solutions of time-dependent Emden–Fowler type equations by homotopy-perturbation method Chowdhury, Md. Sazzad Hossien Hashim, Ishak QA76 Computer software In this Letter, we apply the homotopy-perturbation method (HPM) to obtain approximate analytical solutions of the time-dependent Emden– Fowler type equations. We also present a reliable new algorithm based on HPM to overcome the difficulty of the singular point at x = 0. The analysis is accompanied by some linear and nonlinear time-dependent singular initial value problems. The results prove that HPM is very effective and simple. Elsevier 2007 Article PeerReviewed application/pdf en http://irep.iium.edu.my/6659/1/Solutions_of_time-dependent_Emden%E2%80%93Fowler_type_equations_by_homotopy-perturbation_method.pdf Chowdhury, Md. Sazzad Hossien and Hashim, Ishak (2007) Solutions of time-dependent Emden–Fowler type equations by homotopy-perturbation method. Physics Letters A, 368. pp. 305-313. ISSN 0375-9601 http://www.journals.elsevier.com/physics-letters-a/ |
| spellingShingle | QA76 Computer software Chowdhury, Md. Sazzad Hossien Hashim, Ishak Solutions of time-dependent Emden–Fowler type equations by homotopy-perturbation method |
| title | Solutions of time-dependent Emden–Fowler type equations
by homotopy-perturbation method |
| title_full | Solutions of time-dependent Emden–Fowler type equations
by homotopy-perturbation method |
| title_fullStr | Solutions of time-dependent Emden–Fowler type equations
by homotopy-perturbation method |
| title_full_unstemmed | Solutions of time-dependent Emden–Fowler type equations
by homotopy-perturbation method |
| title_short | Solutions of time-dependent Emden–Fowler type equations
by homotopy-perturbation method |
| title_sort | solutions of time-dependent emden–fowler type equations
by homotopy-perturbation method |
| topic | QA76 Computer software |
| url | http://irep.iium.edu.my/6659/ http://irep.iium.edu.my/6659/ http://irep.iium.edu.my/6659/1/Solutions_of_time-dependent_Emden%E2%80%93Fowler_type_equations_by_homotopy-perturbation_method.pdf |