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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2015, Volume 18, Number 3, Pages 305–317
DOI: https://doi.org/10.15372/SJNM20150305 (Mi sjvm583) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Stiffly stable second derivative linear multistep methods with two hybrid points

R. I. Okuonghae, M. N. O. Ikhile

Department of Mathematics, University of Benin, P.M.B. 1154, Benin City, Edo state, Nigeria
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DOI: https://doi.org/10.15372/SJNM20150305
Abstract: This paper presents a family of hybrid linear multistep methods (LMM) with a second derivative term for the numerical solution of stiff initial value problems (IVPs) for ordinary differential equations (ODEs). The methods are stiffly stable for the step number $k\le7$.
Key words: continuous linear multistep methods, stiff problem, stiff stability, boundary locus, hybrid LMM.
Received: 07.08.2014
Revised: 21.10.2014
English version:
Numerical Analysis and Applications, 2015, Volume 8, Issue 3, Pages 248–259
DOI: https://doi.org/10.1134/S1995423915030052
Bibliographic databases:
Document Type: Article
MSC: 65L05, 65L06
Language: Russian
Citation: R. I. Okuonghae, M. N. O. Ikhile, “Stiffly stable second derivative linear multistep methods with two hybrid points”, Sib. Zh. Vychisl. Mat., 18:3 (2015), 305–317; Num. Anal. Appl., 8:3 (2015), 248–259
Citation in format AMSBIB
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\pages 305--317
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\jour Num. Anal. Appl.
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