On The Stability of Continuous Block Backward Differentiation Formula For Solving Stiff Ordinary Differential Equations.
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Date
2012-07
Authors
OA Akinfenwa, SN Jator, NM Yao
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Abstract
This paper focuses on the stability regions of numerical methods and to demonstrate its suitability for the solution stiff ordinary differential equations. In particular, the purpose of this paper is to generate the stability region for methods of Continuous Block Backward Differentiation Formulae (CBBDF) that simultaneously generate the approximate solution of the stiff ODEs. The practical importance of the methods is established for the stability regions since it cover the whole of the negative half-complex plane.
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Keywords
: Stability region; Continuous block; backward differentiation formulae; Stiff Ordinary Differential Equation ; collocation and interpolation