A Continuous Formulation of A(α)-Stable Second Derivative Linear Multistep Methods for Stiff IVPs in ODEs

This paper considers family of A(α)-stable second derivative linear multistep methods of order p = k + 3 for step number k ≥ 15 for the solution of stiff IVPs in ODEs. The methods are demonstrated to be A(α)-stable for k ≥ 13. At k = 14, the method is stable but not A(α)-stable. The instability of t...

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Bibliographic Details
Main Authors: R. I. Okuonghae, M. N. O. Ikhile
Format: Article
Language:English
Published: SAGE Publishing 2012-03-01
Series:Journal of Algorithms & Computational Technology
Online Access:https://doi.org/10.1260/1748-3018.6.1.79