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Stiffly stable second derivative linear multistep methods with two hybrid points

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Abstract

This paper presents a family of hybrid linear multistep methods (LMMs) with second derivative term for the numerical solution of stiff initial value problems (IVPs) in ordinary differential equations (ODEs). The methods are stiffly stable for step number k ≤ 7.

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Authors and Affiliations

  1. Department of Mathematics, University of Benin, P.M.B. 1154, Benin City, Edo state, Nigeria

    R. I. Okuonghae & M. N. O. Ikhile

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  1. R. I. Okuonghae
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  2. M. N. O. Ikhile
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Correspondence to R. I. Okuonghae.

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Original Russian Text © R.I. Okuonghae, M.N.O. Ikhile, 2015, published in Sibirskii Zhurnal Vychislitel’noi Matematiki, 2015, Vol. 18, No. 3, pp. 299–311.

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Okuonghae, R.I., Ikhile, M.N.O. Stiffly stable second derivative linear multistep methods with two hybrid points. Numer. Analys. Appl. 8, 248–259 (2015). https://doi.org/10.1134/S1995423915030052

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  • DOI: https://doi.org/10.1134/S1995423915030052

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