On the numerical solution of linear stiff IVPs by modified homotopy perturbation method
In this paper, we introduce a method to solve linear sti® IVPs. The sug-gested method, which we call modi¯ed homotopy perturbation method, can be considered as an extension of the homotopy perturbation method (HPM) which is very efficient in solving a varety of di®erential and algebraic equations. I...
| Main Authors: | , , |
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| Format: | Proceeding Paper |
| Language: | English |
| Published: |
2011
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/2103/ http://irep.iium.edu.my/2103/1/On_the_numerical_solution_of_linear_stiff_IVPs_by_modified_homotopy_perturbation_method.pdf |
| _version_ | 1848775957895184384 |
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| author | Chowdhury, Md. Sazzad Hossien Hashim, Ishak Rahman, Md. Mahmudur |
| author_facet | Chowdhury, Md. Sazzad Hossien Hashim, Ishak Rahman, Md. Mahmudur |
| author_sort | Chowdhury, Md. Sazzad Hossien |
| building | IIUM Repository |
| collection | Online Access |
| description | In this paper, we introduce a method to solve linear sti® IVPs. The sug-gested method, which we call modi¯ed homotopy perturbation method, can be considered as an extension of the homotopy perturbation method (HPM) which is very efficient in solving a varety of di®erential and algebraic equations. In this work, a class of linear stiff initial value problems (IVPs) are solved by the classical homotopy per-turbation method (HPM), modified homotopy perturbation method and an explicit Runge-Kutta-type method (RK). Numerical comparisons demonstrate the limitations of HPM and promising capability of the MHPM for solving stiff IVPs. The results prove that the modified HPM is a powerful tool for the solution of linear stiff IVPs. |
| first_indexed | 2025-11-14T14:22:27Z |
| format | Proceeding Paper |
| id | iium-2103 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:22:27Z |
| publishDate | 2011 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-21032011-09-12T06:55:01Z http://irep.iium.edu.my/2103/ On the numerical solution of linear stiff IVPs by modified homotopy perturbation method Chowdhury, Md. Sazzad Hossien Hashim, Ishak Rahman, Md. Mahmudur QA76 Computer software In this paper, we introduce a method to solve linear sti® IVPs. The sug-gested method, which we call modi¯ed homotopy perturbation method, can be considered as an extension of the homotopy perturbation method (HPM) which is very efficient in solving a varety of di®erential and algebraic equations. In this work, a class of linear stiff initial value problems (IVPs) are solved by the classical homotopy per-turbation method (HPM), modified homotopy perturbation method and an explicit Runge-Kutta-type method (RK). Numerical comparisons demonstrate the limitations of HPM and promising capability of the MHPM for solving stiff IVPs. The results prove that the modified HPM is a powerful tool for the solution of linear stiff IVPs. 2011 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/2103/1/On_the_numerical_solution_of_linear_stiff_IVPs_by_modified_homotopy_perturbation_method.pdf Chowdhury, Md. Sazzad Hossien and Hashim, Ishak and Rahman, Md. Mahmudur (2011) On the numerical solution of linear stiff IVPs by modified homotopy perturbation method. In: The 7th IMT-GT International Conference on Mathematics, Statistics and its Applications, 21 - 23 July 2011, The Pullman Bangkok King Power Hotel, Thailand. http://icmsa2011.nida.ac.th/html/introduction.html |
| spellingShingle | QA76 Computer software Chowdhury, Md. Sazzad Hossien Hashim, Ishak Rahman, Md. Mahmudur On the numerical solution of linear stiff IVPs by modified homotopy perturbation method |
| title | On the numerical solution of linear stiff IVPs by modified homotopy perturbation method |
| title_full | On the numerical solution of linear stiff IVPs by modified homotopy perturbation method |
| title_fullStr | On the numerical solution of linear stiff IVPs by modified homotopy perturbation method |
| title_full_unstemmed | On the numerical solution of linear stiff IVPs by modified homotopy perturbation method |
| title_short | On the numerical solution of linear stiff IVPs by modified homotopy perturbation method |
| title_sort | on the numerical solution of linear stiff ivps by modified homotopy perturbation method |
| topic | QA76 Computer software |
| url | http://irep.iium.edu.my/2103/ http://irep.iium.edu.my/2103/ http://irep.iium.edu.my/2103/1/On_the_numerical_solution_of_linear_stiff_IVPs_by_modified_homotopy_perturbation_method.pdf |