Direct solutions of nth-order IVPs by homotopyperturbation method
In this paper, a class of linear and nonlinear nth-order initial value problems (IVPs) is considered. The solutions of these IVPs are obtained by the homotopy-perturbation method (HPM). The HPM can be considered as one of the new methods belonging to the general classification of perturbation method...
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| Format: | Article |
| Language: | English |
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Taylor & Francis
2010
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| Online Access: | http://irep.iium.edu.my/2091/ http://irep.iium.edu.my/2091/ http://irep.iium.edu.my/2091/ http://irep.iium.edu.my/2091/1/Direct_solutions_of_nth-order_IVPs_by_homotopy_perturbation_method.pdf |
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eprints |
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iium-20912011-09-20T07:59:51Z http://irep.iium.edu.my/2091/ Direct solutions of nth-order IVPs by homotopyperturbation method Chowdhury, Md. Sazzad Hossien Hashim, Ishak QA76 Computer software In this paper, a class of linear and nonlinear nth-order initial value problems (IVPs) is considered. The solutions of these IVPs are obtained by the homotopy-perturbation method (HPM). The HPM can be considered as one of the new methods belonging to the general classification of perturbation methods. Generally, the HPM deals with exact solvers for linear differential equations and approximative solvers for nonlinear equations. Several test cases are chosen to demonstrate the efficiency of HPM. Taylor & Francis 2010 Article PeerReviewed application/pdf en http://irep.iium.edu.my/2091/1/Direct_solutions_of_nth-order_IVPs_by_homotopy_perturbation_method.pdf Chowdhury, Md. Sazzad Hossien and Hashim, Ishak (2010) Direct solutions of nth-order IVPs by homotopyperturbation method. International Journal of Computer Mathematics, 87 (4). pp. 756-762. ISSN 1029-0265 http://www.tandf.co.uk/journals/titles/00207160.asp 10.1080/00207160802172224 |
| repository_type |
Digital Repository |
| institution_category |
Local University |
| institution |
International Islamic University Malaysia |
| building |
IIUM Repository |
| collection |
Online Access |
| language |
English |
| topic |
QA76 Computer software |
| spellingShingle |
QA76 Computer software Chowdhury, Md. Sazzad Hossien Hashim, Ishak Direct solutions of nth-order IVPs by homotopyperturbation method |
| description |
In this paper, a class of linear and nonlinear nth-order initial value problems (IVPs) is considered. The solutions of these IVPs are obtained by the homotopy-perturbation method (HPM). The HPM can be considered as one of the new methods belonging to the general classification of perturbation methods. Generally, the HPM deals with exact solvers for linear differential equations and approximative solvers for nonlinear equations. Several test cases are chosen to demonstrate the efficiency of HPM.
|
| format |
Article |
| author |
Chowdhury, Md. Sazzad Hossien Hashim, Ishak |
| author_facet |
Chowdhury, Md. Sazzad Hossien Hashim, Ishak |
| author_sort |
Chowdhury, Md. Sazzad Hossien |
| title |
Direct solutions of nth-order IVPs by homotopyperturbation method |
| title_short |
Direct solutions of nth-order IVPs by homotopyperturbation method |
| title_full |
Direct solutions of nth-order IVPs by homotopyperturbation method |
| title_fullStr |
Direct solutions of nth-order IVPs by homotopyperturbation method |
| title_full_unstemmed |
Direct solutions of nth-order IVPs by homotopyperturbation method |
| title_sort |
direct solutions of nth-order ivps by homotopyperturbation method |
| publisher |
Taylor & Francis |
| publishDate |
2010 |
| url |
http://irep.iium.edu.my/2091/ http://irep.iium.edu.my/2091/ http://irep.iium.edu.my/2091/ http://irep.iium.edu.my/2091/1/Direct_solutions_of_nth-order_IVPs_by_homotopy_perturbation_method.pdf |
| first_indexed |
2023-09-18T20:09:37Z |
| last_indexed |
2023-09-18T20:09:37Z |
| _version_ |
1777407389880811520 |