A Class of Two-Step Obrechkoff-Type of Hybrid Block Method for Solving Initial Value Problems in Ordinary Differential Equations
1 Department of Mathematics, Ambrose Alli University Ekpoma, Edo-State, Nigeria
* Corresponding author: lukeukpebor@gmail.com
* Corresponding author: lukeukpebor@gmail.com
Abstract
In this paper, we derived A Class of Two-Step Obrechkoff-Type of
Hybrid Block Method for Solving Initial Value Problem (IVP) in
Ordinary differential equations (ODEs) by collocation and interpolation techniques. The analysis of the proposed scheme shows
that it is zero stable, convergent and consistent. Numerical examples are also presented to show that the method compared favorably with results of the other methods considered in the literature.
Keywords
Two-Step
Hybrid Block Method
Obrechkoff-Type
How to Cite
Ukpebor, L. A., Adoghe, L. O., & Airemen, I. E. (2022). A Class of Two-Step Obrechkoff-Type of Hybrid Block Method for Solving Initial Value Problems in Ordinary Differential Equations. Nigerian Journal of Mathematics and Applications, 32(1), 174-188. https://doi.org/10.67897/njma.2022.0d1trgpa
L. A. Ukpebor, L. O. Adoghe, and I. E. Airemen, "A Class of Two-Step Obrechkoff-Type of Hybrid Block Method for Solving Initial Value Problems in Ordinary Differential Equations," Nigerian Journal of Mathematics and Applications, vol. 32, no. 1, pp. 174-188, June 2022. doi: 10.67897/njma.2022.0d1trgpa
