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A new superclass of block backward differentiation formula for stiff ordinary differential equations


Citation

Suleiman, Mohamed and Musa, Hamisu and Ismail, Fudziah and Senu, Norazak and Ibrahim, Zarina Bibi (2014) A new superclass of block backward differentiation formula for stiff ordinary differential equations. Asian-European Journal of Mathematics, 7 (1). art. no. 1350034. pp. 1-17. ISSN 1793-5571; ESSN: 1793-7183

Abstract

A superclass of block backward differentiation formula (BBDF) suitable for solving stiff ordinary differential equations is developed. The method is of order 3, with smaller error constant than the conventional BBDF. It is A-stable and generates two points at each step of the integration. A comparison is made between the new method, the 2-point block backward differentiation formula (2BBDF) and 1-point backward differentiation formula (1BDF). The numerical results show that the method developed outperformed the 2BBDF and 1BDF methods in terms of accuracy. It also reduces the integration steps when compared with the 1BDF method.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
DOI Number: https://doi.org/10.1142/S1793557113500344
Publisher: World Scientific Publishing
Keywords: Implicit block method; A-stability; Superclass of block backward differentiation formula; Stiff ordinary differential equations
Depositing User: Nabilah Mustapa
Date Deposited: 13 Jun 2015 06:19
Last Modified: 26 Jan 2016 04:04
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1142/S1793557113500344
URI: http://psasir.upm.edu.my/id/eprint/36206
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