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Derivation of BBDF-α for solving ordinary differential equation


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
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