Citation
Ibrahim, Zarina Bibi and Zainuddin, Nooraini and Othman, Khairil Iskandar and Suleiman, Mohamed and Mohd Zawawi, Iskandar Shah
(2019)
Variable order block method for solving second order ordinary differential equations.
Sains Malaysiana, 48 (8).
pp. 1761-1769.
ISSN 0126-6039
Abstract
This paper proposed 2-point block backward differentiation formulas (BBDF) of order 3, 4, and 5 for direct solution of second order ordinary differential equations. These methods were derived via backward difference interpolation polynomial with two solutions are produced simultaneously at each step. All the three different orders of 2-point BBDF is implemented in variable order scheme. The scheme utilizes the local truncation error, which is generated by the single order of 2-point BBDF method. Numerical results are presented to illustrate the validity of the proposed scheme.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.17576/jsm-2019-4808-23 |
| Publisher: | Penerbit Universiti Kebangsaan Malaysia |
| Keywords: | Block method; Initial value problem; Second order ODEs; Variable order |
| Depositing User: | Mr. Sazali Mohamad |
| Date Deposited: | 11 Sep 2020 05:14 |
| Last Modified: | 11 Sep 2020 05:14 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psair.upmedu.my&doi=10.17576/jsm-2019-4808-23 |
| URI: | http://psasir.upm.edu.my/id/eprint/82710 |
| Statistic Details: | View Download Statistic |
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