Journal of Modern Mathematics and Statistics

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Generalized Rational Runge-Kutta Method for Integration of Stiff System of Ordinary Differential Equations

P.O. Babatola , R.A. Ademiluyi and E.A. Areo
Page: 78-84 | Received 21 Sep 2022, Published online: 21 Sep 2022

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Abstract

This study describes the development, analysis and implementation of generalized implicit rational runge-kutta schemes for integration of stiff system of ordinary differential equations. Its development adopted Taylor and binomial series expansion techniques to generate its parameters. The analysis of its basic properties adopted Dalhquist, A-stability model test equation and the results show that the scheme is, consistent, convergent and A-stable. Numerical results show that the method is accurate and effective.

How to cite this article:

P.O. Babatola , R.A. Ademiluyi and E.A. Areo . Generalized Rational Runge-Kutta Method for Integration of Stiff System of Ordinary Differential Equations.
DOI: https://doi.org/10.36478/jmmstat.2008.78.84
URL: https://www.makhillpublications.co/view-article/1994-5388/jmmstat.2008.78.84