Citation
Mohd Zawawi, Iskandar Shah and Ibrahim, Zarina Bibi
(2015)
Derivation of BBDF-α for solving ordinary differential equation.
In: 23rd Malaysian National Symposium of Mathematical Sciences (SKSM23), 24-26 Nov. 2015, Johor Bahru, Malaysia. (pp. 1-8).
Abstract
In this paper, the block backward differentiation formulas with parameter α (BBDF-α) of order three is derived in a constant step size for solving system of first order ordinary differential equations (ODEs). The coefficients of formula are generated using Maple software package. The influence of parameter α is considered to produce better approximate solutions at two points simultaneously. Numerical experiment is included to show the capability of the derived method in solving ODEs. Numerical results indicate that the BBDF-α outperforms the existing methods in term of accuracy.
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Additional Metadata
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.1063/1.4954531 |
| Publisher: | AIP Publishing |
| Keywords: | BBDF-α; Ordinary differential equations (ODEs) |
| Depositing User: | Nabilah Mustapa |
| Date Deposited: | 27 Sep 2017 06:37 |
| Last Modified: | 27 Sep 2017 06:37 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4954531 |
| URI: | http://psasir.upm.edu.my/id/eprint/57372 |
| Statistic Details: | View Download Statistic |
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