A hybrid two-step method for direct solutions of general second order initial value problem

Ayodele Owolanke, O.D. Ogwumu, T.Y. Kyagya, C.O. Okorie, G.I. Amakoromo

Abstract


The study is concerned with the development of a two-step hybrid linear multi-step method for direct solution of general second order initial value problem. Power series is adopted as the basis function, and the differential system arising from it are collocated at all grid and off-grid points, while the approximate solution is interpolated at the selected points. The scheme developed is tested for consistency and zero stability, and it was found to be convergent.The scheme is expanded term by term by Taylor series approach, also the efficiency of the methods is tested on some test problems, and the accuracy is compared with some existing result in literature.

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Published: 2020-11-10

How to Cite this Article:

Ayodele Owolanke, O.D. Ogwumu, T.Y. Kyagya, C.O. Okorie, G.I. Amakoromo, A hybrid two-step method for direct solutions of general second order initial value problem, Eng. Math. Lett., 2021 (2021), Article ID 1

Copyright © 2021 Ayodele Owolanke, O.D. Ogwumu, T.Y. Kyagya, C.O. Okorie, G.I. Amakoromo. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Engineering Mathematics Letters

ISSN 2049-9337

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