Solving linear and non-linear stiff system of ordinary differential equations by multi stage homotopy perturbation method
In this paper, linear and non-linear stiff systems of ordinary differential equations are solved by the multi-stage homotopy perturbation method (MHPM). The MHPM is a technique adapted from the standard homotopy perturbation method (HPM) where standard HPM is converted into a hybrid numeric-analyt...
| Main Authors: | , , |
|---|---|
| Format: | Proceeding Paper |
| Language: | English |
| Published: |
IRAJ Research Forum
2016
|
| Subjects: | |
| Online Access: | http://irep.iium.edu.my/55185/ http://irep.iium.edu.my/55185/1/Procceding-ICSTEM16-IREF.pdf |
| _version_ | 1848784536797708288 |
|---|---|
| author | Chowdhury, Md. Sazzad Hossien Hashim, I. Hosen, Md. Alal |
| author_facet | Chowdhury, Md. Sazzad Hossien Hashim, I. Hosen, Md. Alal |
| author_sort | Chowdhury, Md. Sazzad Hossien |
| building | IIUM Repository |
| collection | Online Access |
| description | In this paper, linear and non-linear stiff systems of ordinary differential equations are solved by the multi-stage
homotopy perturbation method (MHPM). The MHPM is a technique adapted from the standard homotopy perturbation method
(HPM) where standard HPM is converted into a hybrid numeric-analytic method called multistage homotopy perturbation
method (HPM). The MHPM is tested for several examples. Comparisons with an explicit Runge-Kutta-type method (RK)
demonstrate the promising capability of the MHPM for solving linear and non-linear stiff systems of ordinary differential
equations. |
| first_indexed | 2025-11-14T16:38:49Z |
| format | Proceeding Paper |
| id | iium-55185 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T16:38:49Z |
| publishDate | 2016 |
| publisher | IRAJ Research Forum |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-551852017-03-08T01:31:08Z http://irep.iium.edu.my/55185/ Solving linear and non-linear stiff system of ordinary differential equations by multi stage homotopy perturbation method Chowdhury, Md. Sazzad Hossien Hashim, I. Hosen, Md. Alal QA76 Computer software In this paper, linear and non-linear stiff systems of ordinary differential equations are solved by the multi-stage homotopy perturbation method (MHPM). The MHPM is a technique adapted from the standard homotopy perturbation method (HPM) where standard HPM is converted into a hybrid numeric-analytic method called multistage homotopy perturbation method (HPM). The MHPM is tested for several examples. Comparisons with an explicit Runge-Kutta-type method (RK) demonstrate the promising capability of the MHPM for solving linear and non-linear stiff systems of ordinary differential equations. IRAJ Research Forum 2016 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/55185/1/Procceding-ICSTEM16-IREF.pdf Chowdhury, Md. Sazzad Hossien and Hashim, I. and Hosen, Md. Alal (2016) Solving linear and non-linear stiff system of ordinary differential equations by multi stage homotopy perturbation method. In: ISERD International Conference, 24-25 December 2016, Jeddah, Saudi Arabia. |
| spellingShingle | QA76 Computer software Chowdhury, Md. Sazzad Hossien Hashim, I. Hosen, Md. Alal Solving linear and non-linear stiff system of ordinary differential equations by multi stage homotopy perturbation method |
| title | Solving linear and non-linear stiff system of ordinary differential equations by multi stage homotopy perturbation method |
| title_full | Solving linear and non-linear stiff system of ordinary differential equations by multi stage homotopy perturbation method |
| title_fullStr | Solving linear and non-linear stiff system of ordinary differential equations by multi stage homotopy perturbation method |
| title_full_unstemmed | Solving linear and non-linear stiff system of ordinary differential equations by multi stage homotopy perturbation method |
| title_short | Solving linear and non-linear stiff system of ordinary differential equations by multi stage homotopy perturbation method |
| title_sort | solving linear and non-linear stiff system of ordinary differential equations by multi stage homotopy perturbation method |
| topic | QA76 Computer software |
| url | http://irep.iium.edu.my/55185/ http://irep.iium.edu.my/55185/1/Procceding-ICSTEM16-IREF.pdf |