Citation
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
Abstract
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.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| Publisher: | Malaysian Mathematical Science Society |
| Keywords: | Direct method; Two-step method; Second order ODEs; Predictor-corrector method; Van der Pol’s problem |
| Depositing User: | Ms. Nuraida Ibrahim |
| Date Deposited: | 10 Jul 2025 04:04 |
| Last Modified: | 10 Jul 2025 04:04 |
| URI: | http://psasir.upm.edu.my/id/eprint/102839 |
| Statistic Details: | View Download Statistic |
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