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Kamoh, N.M., Gyemang, D.G. and Soomiyol, M.C. (2017) On One Justification on the Use of Hybrids for the Solution of First Order Initial Value Problems of Ordinary Differential Equations. Pure and Applied Mathematics Journal, 6, 137-143.
https://doi.org/10.11648/j.pamj.20170605.11

has been cited by the following article:

• TITLE: A Proof of the Non-Singularity of the D Matrix Used in Deriving the Two—Step Butcher’s Hybrid Scheme for the Solution of Initial Value Problems

  AUTHORS: R. O. Akinola, K. J. Ajibade

  KEYWORDS: Linear Multistep Methods, Non-Singularity, Interpolation and Collocation

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.9 No.12, December 29, 2021

  ABSTRACT: In this paper, we state and prove the conditions for the non-singularity of the D matrix used in deriving the continuous form of the Two-step Butcher’s hybrid scheme and from it the discrete forms are deduced. We also show that the discrete scheme gives outstanding results for the solution of stiff and non-stiff initial value problems than the 5th order Butcher’s algorithm in predictor-corrector form.