Citation
Mohd Nasarudin, Amiratul Ashikin and Ibrahim, Zarina Bibi and Rosali, Haliza
(2020)
On the integration of stiff ODEs using block backward differentiation formulas of order six.
Symmetry-Basel, 12 (6).
pp. 1-13.
ISSN 2073-8994
Abstract
In this research, a six-order, fully implicit Block Backward Differentiation Formula with two off-step points (BBDFO(6)), for the integration of first-order ordinary differential equations (ODEs) that exhibit stiffness, is proposed. The order, consistency and stability properties of the method are discussed, and the method is found to be zero stable and consistent. Hence, the method is convergent. The numerical comparisons with the existing methods of a similar type are given to demonstrate the accuracy of the derived method.
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Official URL or Download Paper: https://www.mdpi.com/2073-8994/12/6/952
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| Publisher: | Multidisciplinary Digital Publishing Institute |
| Keywords: | Fully implicit; Block backward differentiation formula; Off-step point |
| Depositing User: | Mohamad Jefri Mohamed Fauzi |
| Date Deposited: | 05 Sep 2022 03:34 |
| Last Modified: | 05 Sep 2022 03:34 |
| URI: | http://psasir.upm.edu.my/id/eprint/86976 |
| Statistic Details: | View Download Statistic |
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