Journal of Engineering and Applied Sciences

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One-Stage Implicit Rational Runge-Kutta Schemes for Treatment of Discontinous Initial Value Problems

P.O. Babatola , R.A. Ademiluyi and E.A. Areo
Page: 96-104 | Received 21 Sep 2022, Published online: 21 Sep 2022

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Abstract

This study describes one-stage Implicit Rational Runge-Kutta scheme for treatment of discontinuous ordinary differential equations. Its development adopts power series expansion method (Taylor and Binomial). The analysis of its basic properties uses Dalhquist model test equation. The results show that the schemes are consistent, convergent and A-stable. Numerical computations and comparative analysis with some standard methods show that the new schemes are efficient and accurate.

How to cite this article:

P.O. Babatola , R.A. Ademiluyi and E.A. Areo . One-Stage Implicit Rational Runge-Kutta Schemes for Treatment of Discontinous Initial Value Problems.
DOI: https://doi.org/10.36478/jeasci.2007.96.104
URL: https://www.makhillpublications.co/view-article/1816-949x/jeasci.2007.96.104