Citation
Zainuddin, Nooraini and Ibrahim, Zarina Bibi and Othman, Khairil Iskandar and Suleiman, Mohamed
(2016)
Direct fifth order block backward differentiation formulas for solving second order ordinary differential equations.
Chiang Mai Journal of Science, 43 (5).
pp. 1171-1181.
ISSN 0125-2526; ESSN: 2465-3845
Abstract
In this paper, a new fifth order Direct Block Backward Differentiation Formula (5-DBBDF) for solving second order stiff ordinary differential equations (ODEs) is presented. Five backwards steps are used to generate the coefficients of the 5-DBBDF. This method approximates the solutions at two points concurrently by using fixed step size and solved the second order ODEs directly without reducing the ODEs to a system of first order. Numerical results on some standard problems found in the literature are presented to validate the accuracy of the proposed method.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| Publisher: | Faculty of Science, Chiang Mai University |
| Keywords: | Block method; Second order ODEs; Stiff |
| Depositing User: | Mohd Hafiz Che Mahasan |
| Date Deposited: | 13 Sep 2017 02:14 |
| Last Modified: | 13 Sep 2017 02:14 |
| URI: | http://psasir.upm.edu.my/id/eprint/55533 |
| Statistic Details: | View Download Statistic |
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