Abstract:
In this paper, we present a class of A(α)A(α)-stable hybrid linear multistep methods for the numerical solution of stiff initial value problems (IVPs) in ordinary differential equations (ODEs). The method considered uses a second derivative like the Enright's second derivative linear multistep methods for stiff IVPs in ODEs.
Citation:
R. I. Okuonghae, M. N. O. Ikhile, “On the construction of high order A(α)A(α)-stable hybrid linear multistep methods for stiff IVPs in ODEs”, Sib. Zh. Vychisl. Mat., 15:3 (2012), 281–292; Num. Anal. Appl., 5:3 (2012), 231–241
\Bibitem{OkuIkh12}
\by R.~I.~Okuonghae, M.~N.~O.~Ikhile
\paper On the construction of high order $A(\alpha)$-stable hybrid linear multistep methods for stiff IVPs in ODEs
\jour Sib. Zh. Vychisl. Mat.
\yr 2012
\vol 15
\issue 3
\pages 281--292
\mathnet{http://mi.mathnet.ru/sjvm480}
\transl
\jour Num. Anal. Appl.
\yr 2012
\vol 5
\issue 3
\pages 231--241
\crossref{https://doi.org/10.1134/S1995423912030056}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84865806889}
Linking options:
https://www.mathnet.ru/eng/sjvm480
https://www.mathnet.ru/eng/sjvm/v15/i3/p281
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Okuonghae R.I., Ikhile M.N.O., “Stiffly Stable Second Derivative Linear Multistep Methods With Two Hybrid Points”, Numer. Anal. Appl., 8:3 (2015), 248–259
R. I. Okuonghae, “Variable order explicit second derivative general linear methods”, Comp. Appl. Math., 33:1 (2014), 243
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R. I. Okuonghae, M. N. O. Ikhile, “A family of highly stable second derivative block methods for stiff IVPs in ODEs”, Num. Anal. Appl., 7:1 (2014), 57–69
R. I. Okuonghae, “A class of A(α)A(α)-stable numerical methods for stiff problems in ordinary differential equations”, Num. Anal. Appl., 6:4 (2013), 298–313
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