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/v17i930329Abstract
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.
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