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Research Article Open access CC BY 4.0

The Simulation of One-Step Algorithms for Treating Higher Order Initial Value Problems

J. Sabo, A. M. Ayinde, A. A. Ishaq, G. Ajileye

Asian Research Journal of Mathematics · pp. 34–47 · Published 6 Nov 2021

10.9734/arjom/2021/v17i930329

Abstract

The simulation of one-step methods using interpolation and collocation for the treatment of higher order initial value problems is proposed in this paper. The new approach is derived using interpolation and collocation as a basic function through power series polynomial, where the basic properties are also analyzed. The derived method is used to treat some highly stiff linear problems. The new approach compute clearly showed that the method is reliable, efficient and gives faster convergence when compared with those in literature.

Algorithms higher order initial value problems one-step and simulation

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I. Adam, A. Abdullahi, John Sabo · International Journal of Development Mathematics (IJDM) · 2024

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