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On the stability of diagonally implicit 2-point block backward differentiation formulae


Citation

Mohd Zawawi, Iskandar Shah and Ibrahim, Zarina Bibi and Suleiman, Mohamed (2013) On the stability of diagonally implicit 2-point block backward differentiation formulae. In: International Conference on Mathematical Sciences and Statistics 2013 (ICMSS2013), 5-7 Feb. 2013, Kuala Lumpur, Malaysia. (pp. 315-319).

Abstract

In this work, the zero-stability properties of diagonally implicit 2-point block backward differentiation formulas (DI2BBDF) are presented. The stability region is illustrated to prove the A-stable behavior. Some numerical stiff problems are provided to test the performance of the method in terms of accuracy. Numerical results are compared with the fully implicit 2-point block backward differentiation formulas (FI2BBDF).


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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/10.1063/1.4823927
Publisher: AIP Publishing LLC
Keywords: Block; Diagonally implicit; Stability
Depositing User: Nabilah Mustapa
Date Deposited: 08 Sep 2017 09:41
Last Modified: 08 Sep 2017 09:41
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4823927
URI: http://psasir.upm.edu.my/id/eprint/57182
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