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

Article scientifique 2024 Anglais

Résumé

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.

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Akinnukawe, B., Okunuga, S. (2024). One-step block scheme with optimal hybrid points for numerical integration of second-order ordinary differential equations. https://doi.org/10.46481/jnsps.2024.1827

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Auteur(s)

B. I. Akinnukawe S. A. Okunuga

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