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Block method for third order ordinary differential equations


Citation

Zainuddin, Nooraini and Ibrahim, Zarina Bibi (2016) Block method for third order ordinary differential equations. In: 24th National Symposium on Mathematical Sciences (SKSM24), 27-29 Sept. 2016, Primula Beach Hotel, Kuala Terengganu, Terengganu. (pp. 1-5).

Abstract

The problem of third order ordinary differential equations (ODEs) is solved directly by using the block backward differentiation formula. The block method is constructed by utilizing three back values and by differentiating the interpolating polynomial once, twice and thrice. Two approximated solutions are generated concurrently for each integration step. Numerical results indicate the efficiency of the direct method than the usual approach of transforming it into the first order ODEs.


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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/10.1063/1.4995919
Publisher: AIP Publishing
Keywords: Block method; Third order ordinary differential equations (ODEs)
Depositing User: Nabilah Mustapa
Date Deposited: 27 Sep 2017 07:03
Last Modified: 27 Sep 2017 07:03
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4995919
URI: http://psasir.upm.edu.my/id/eprint/57386
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