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An accurate block solver for stiff initial value problems


Musa, H. and Suleiman, Mohamed and Ismail, Fudziah and Senu, Norazak and Ibrahim, Zarina Bibi (2013) An accurate block solver for stiff initial value problems. ISRN Applied Mathematics, 2013. art. no. 567451. pp. 1-10. ISSN 2090-5564; ESSN: 2090-5572


New implicit block formulae that compute solution of stiff initial value problems at two points simultaneously are derived and implemented in a variable step size mode. The strategy for changing the step size for optimum performance involves halving, increasing by a multiple of 1.7, or maintaining the current step size. The stability analysis of the methods indicates their suitability for solving stiff problems. Numerical results are given and compared with some existing backward differentiation formula algorithms. The results indicate an improvement in terms of accuracy.

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Official URL or Download Paper: http://www.hindawi.com/journals/isrn/2013/567451/

Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1155/2013/567451
Publisher: Hindawi Publishing Corporation
Keywords: Block; Stiff.
Depositing User: Umikalthom Abdullah
Date Deposited: 11 Sep 2014 06:02
Last Modified: 09 Oct 2015 01:00
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2013/567451
URI: http://psasir.upm.edu.my/id/eprint/30303
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