Predictor-corrector scheme for solving second order ordinary differential equations
In this research, the direct method of Adam Moulton two-step method was proposed for solving initial value problem (IVPs) of second order ordinary differential equations (ODEs) directly. The current approach for solving second order ODEs is to reduce to first order ODEs. However, the direct method...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Malaysian Mathematical Science Society
2022
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| Online Access: | http://psasir.upm.edu.my/id/eprint/102839/ http://psasir.upm.edu.my/id/eprint/102839/1/102839.pdf |
| _version_ | 1848863885317111808 |
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| author | Mohamat Johari, Mohamat Aidil Abdul Majid, Zanariah |
| author_facet | Mohamat Johari, Mohamat Aidil Abdul Majid, Zanariah |
| author_sort | Mohamat Johari, Mohamat Aidil |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this research, the direct method of Adam Moulton two-step method was proposed for solving initial
value problem (IVPs) of second order ordinary differential equations (ODEs) directly. The current
approach for solving second order ODEs is to reduce to first order ODEs. However, the direct method
in this research will solved the second order ODEs directly. The Lagrange interpolation polynomial was
applied in the derivation of the proposed method. The implementation will be in predictor-corrector
scheme. Numerical results shown that the method gave comparable accuracy and faster execution time
compared to the existing method. The proposed direct method of Adams Moulton type is suitable for
solving second order ODEs. |
| first_indexed | 2025-11-15T13:40:01Z |
| format | Article |
| id | upm-102839 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T13:40:01Z |
| publishDate | 2022 |
| publisher | Malaysian Mathematical Science Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-1028392025-07-10T04:04:39Z http://psasir.upm.edu.my/id/eprint/102839/ Predictor-corrector scheme for solving second order ordinary differential equations Mohamat Johari, Mohamat Aidil Abdul Majid, Zanariah In this research, the direct method of Adam Moulton two-step method was proposed for solving initial value problem (IVPs) of second order ordinary differential equations (ODEs) directly. The current approach for solving second order ODEs is to reduce to first order ODEs. However, the direct method in this research will solved the second order ODEs directly. The Lagrange interpolation polynomial was applied in the derivation of the proposed method. The implementation will be in predictor-corrector scheme. Numerical results shown that the method gave comparable accuracy and faster execution time compared to the existing method. The proposed direct method of Adams Moulton type is suitable for solving second order ODEs. Malaysian Mathematical Science Society 2022 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/102839/1/102839.pdf Mohamat Johari, Mohamat Aidil and Abdul Majid, Zanariah (2022) Predictor-corrector scheme for solving second order ordinary differential equations. Menemui Matematik, 44 (2). pp. 86-96. ISSN 2231-7023 https://www.persama.org.my/images/Menemui_Matematik/2022/MMv442_86_96.pdf |
| spellingShingle | Mohamat Johari, Mohamat Aidil Abdul Majid, Zanariah Predictor-corrector scheme for solving second order ordinary differential equations |
| title | Predictor-corrector scheme for solving second order ordinary differential equations |
| title_full | Predictor-corrector scheme for solving second order ordinary differential equations |
| title_fullStr | Predictor-corrector scheme for solving second order ordinary differential equations |
| title_full_unstemmed | Predictor-corrector scheme for solving second order ordinary differential equations |
| title_short | Predictor-corrector scheme for solving second order ordinary differential equations |
| title_sort | predictor-corrector scheme for solving second order ordinary differential equations |
| url | http://psasir.upm.edu.my/id/eprint/102839/ http://psasir.upm.edu.my/id/eprint/102839/ http://psasir.upm.edu.my/id/eprint/102839/1/102839.pdf |