Chibuisi, C. and Osu, B. O. and Edeki, S.O. and Akinlabi, G. O. and Olunkwa, C. and Ogundile, O. P. (2022) Implementation of Two-step Hybrid Block Adams Moulton Solution Methods for First Order Delay Differential Equations. In: ICORTAR, 2021, Online.
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Abstract
In this paper, Hybrid Block Adams Moulton Methods for step number k 2 merged with two and three off-grid points were obtained and implemented in solving first order delay differential equations without the use of interpolation condition in evaluating the delay expression. The discrete schemes of these off-grid hybrid block methods were assessed through the continuous development of the linear multistep collocation method using a matrix conversion formula. The results obtained after the implementation of the proposed method in for numerical experiment of some first-order DDEs, the BHAMM2 schemes performed better and faster in satisfying the axioms for convergence and region of absolute stability than the BHAMM3 schemes at fixed step size z when examined with other existing methods.
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Uncontrolled Keywords: | First-order delay differential equations, hybrid block method, off-grid point, Adams Moulton method. |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Engineering, Science and Mathematics > School of Mathematics |
| Depositing User: | Mrs Patricia Nwokealisi |
| Date Deposited: | 07 Jun 2022 11:20 |
| Last Modified: | 07 Jun 2022 11:20 |
| URI: | http://eprints.covenantuniversity.edu.ng/id/eprint/15953 |
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