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Onumanyi, P., Awoyemi, D.O., Jator, S.N. and Sirisena, U.W. (1994) New Linear Multistep Methods with Continuous Coefficients for First Order Initial Value Problems. Journal of Nigeria Mathematics Society, 13, 37-51.

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.