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Stability of block backward differentiation formulas method


Mohd Nasir, Nor Ain Azeany and Ibrahim, Zarina Bibi and Suleiman, Mohamed and Othman, Khairil Iskandar (2014) Stability of block backward differentiation formulas method. In: 22nd National Symposium on Mathematical Sciences (SKSM22), 24-26 Nov. 2014, Grand Bluewave Hotel, Selangor. (pp. 1-6).


In this paper, a technique for finding A(α) - stability interval for the Block Backward Differentiation Formulas (BBDFs) are presented. The stability region is obtained for a single equation and stable step size restriction is indicated for the BBDF of order four, (BBDF(4)), and BBDF of order five, (BBDF(5)). Numerical examples are given to illustrate the stability interval in choosing a suitable step size in the implementation of the method.

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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/10.1063/1.4932419
Publisher: AIP Publishing LLC
Keywords: Backward differentiation formulas; Block method; Stability
Depositing User: Nabilah Mustapa
Date Deposited: 24 Oct 2017 04:04
Last Modified: 24 Oct 2017 04:04
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4932419
URI: http://psasir.upm.edu.my/id/eprint/57545
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