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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2012, Volume 15, Number 3, Pages 281–292 (Mi sjvm480)  
This article is cited in 16 scientific papers (total in 16 papers)

On the construction of high order $A(\alpha)$-stable hybrid linear multistep methods for stiff IVPs in ODEs

R. I. Okuonghae, M. N. O. Ikhile

Department of Mathematics, University of Benin, Benin City, Edo state, Nigeria
Full-text PDF (257 kB) Citations (16)
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Abstract: In this paper, we present a class of $A(\alpha)$-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.
Key words: hybrid methods, continuous methods, collocation, interpolation, boundary locus, $A(\alpha)$-stability.
Received: 11.01.2011
Revised: 24.05.2011
English version:
Numerical Analysis and Applications, 2012, Volume 5, Issue 3, Pages 231–241
DOI: https://doi.org/10.1134/S1995423912030056
Bibliographic databases:
Document Type: Article
MSC: 65L05, 65L06
Language: Russian
Citation: R. I. Okuonghae, M. N. O. Ikhile, “On the construction of high order $A(\alpha)$-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
Citation in format AMSBIB
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\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}
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    • This publication is cited in the following 16 articles:
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