One-step block scheme with optimal hybrid points for numerical integration of second-order ordinary differential equations

Authors

  • B. I. Akinnukawe Department of Mathematics, University of Lagos, Lagos, Nigeria
  • S. A. Okunuga Department of Mathematics, University of Lagos, Lagos, Nigeria

Keywords:

Collocation techniques, Hybrid points, Numerical integration, Optimized scheme

Abstract

In this paper, a one-step block of optimized hybrid schemes for the numerical integration of second-order initial value problems (IVP) of ordinary differential equations (ODE) is constructed via collocation techniques. The developed scheme is obtained by considering two intra-step nodal points as hybrid points, which are chosen in order to achieve optimized errors of the main formulae approximating the solution such that 0 < v1 < v 2 < 1 where v1 and v2 are defined as hybrid points. The characteristics of the developed scheme are analyzed. Application of the new scheme on some second-order IVPs shows the accuracy and effectiveness of the scheme compared with some existing methods.

Dimensions

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Published

2024-04-23

How to Cite

One-step block scheme with optimal hybrid points for numerical integration of second-order ordinary differential equations. (2024). Journal of the Nigerian Society of Physical Sciences, 6(2), 1827. https://doi.org/10.46481/jnsps.2024.1827

Issue

Volume 6, Issue 2, May 2024 (In Progress)

Section

Mathematics & Statistics
Copyright & Licensing

Copyright (c) 2024 B. I. Akinnukawe, S. A. Okunuga

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

One-step block scheme with optimal hybrid points for numerical integration of second-order ordinary differential equations. (2024). Journal of the Nigerian Society of Physical Sciences, 6(2), 1827. https://doi.org/10.46481/jnsps.2024.1827