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Diagonally implicit block backward differentiation formula for solving linear second order ordinary differential equations


Citation

Zainuddin, Nooraini and Ibrahim, Zarina Bibi and Othman, Khairil Iskandar (2014) Diagonally implicit block backward differentiation formula for solving linear second order ordinary differential equations. In: 3rd International Conference on Fundamental and Applied Sciences (ICFAS 2014), 3-5 June 2014, Kuala Lumpur Convention Centre, Kuala Lumpur. (pp. 69-75).

Abstract

The three point block method for solving second order ordinary differential equations (ODEs) directly using constant step size is derived. The reliability of this new method is verified in the numerical results with the improved performance in terms of computation time while maintaining the accuracy. The comparison is presented between the new method and classical backward differentiation formulas (BDF) of order 3.


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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/10.1063/1.4898447
Publisher: AIP Publishing LLC
Keywords: Block method; Second order ordinary differential equations (ODEs); Backward differentiation formula
Depositing User: Nabilah Mustapa
Date Deposited: 27 Sep 2017 10:47
Last Modified: 27 Sep 2017 10:47
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4898447
URI: http://psasir.upm.edu.my/id/eprint/57443
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