On the Convergence and Consistence of Rational Integrator for the Solution of Ordinary Differential Equation
1 Department of Mathematics, Ambrose Alli University, Ekpoma, Nigeria
2 Faculty of Physical Sciences, Ambrose Alli University, Ekpoma, Edo State, Nigeria
* Corresponding author: ebhohimenfidelis@yahoo.com
2 Faculty of Physical Sciences, Ambrose Alli University, Ekpoma, Edo State, Nigeria
* Corresponding author: ebhohimenfidelis@yahoo.com
Abstract
This research work is concerned with the determination of
solution to different classes of problems in Ordinary Differ
ential Equations (ODEs). We derived an A0-Stable rational
integrators for the solution of ordinary differential equations.
We establish the convergence, consistency and the stability of
our scheme in the interpolants of order m = 3, through the
rational integrator. The stability analysis of the method was
carried with the use of MAPLE-18 and MATLAB software’s. We
compared our new and solve real-life problems which ascertain
the convergence and consistency of scheme. Our result shows
that our integrator is stable analytically and computationally.
Keywords
Ordinary differential equations
rational integrator
stability analysis
consistence
convergence
How to Cite
Elakhe, O. A., & Isere, A. O. (2021). On the Convergence and Consistence of Rational Integrator for the Solution of Ordinary Differential Equation. Nigerian Journal of Mathematics and Applications, 31(1), 64−76. https://doi.org/10.67897/njma.2021.2r7wuwhf
O. A. Elakhe, and A. O. Isere, "On the Convergence and Consistence of Rational Integrator for the Solution of Ordinary Differential Equation," Nigerian Journal of Mathematics and Applications, vol. 31, no. 1, pp. 64−76, July 2021. doi: 10.67897/njma.2021.2r7wuwhf
