One-step block scheme with optimal hybrid points for numerical integration of second-order ordinary differential equations
Keywords:
Collocation techniques, Hybrid points, Numerical integration, Optimized schemeAbstract
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.
![](https://journal.nsps.org.ng/public/journals/1/submission_1827_1774_coverImage_en.png)
Published
How to Cite
Issue
Section
Copyright (c) 2024 B. I. Akinnukawe, S. A. Okunuga
![Creative Commons License](http://i.creativecommons.org/l/by/4.0/88x31.png)
This work is licensed under a Creative Commons Attribution 4.0 International License.