Research Article Open Access

K-Step Rational Runge-Kutta Method for Solution of Stiff System of Ordinary Differential Equations

P.O. Babatola, R.A. Ademiluyi and E.A. Areo

Abstract

This study described the development, analysis and implementation of K-step implicit rational Runge-Kutta schemes for solution 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 showed that the scheme was a-stable, consistent and convergent. Numerical results showed that the method was accurate and effective.

Journal of Mathematics and Statistics
Volume 4 No. 3, 2008, 130-137

DOI: https://doi.org/10.3844/jmssp.2008.130.137

Submitted On: 18 June 2007 Published On: 30 September 2008

How to Cite: Babatola, P., Ademiluyi, R. & Areo, E. (2008). K-Step Rational Runge-Kutta Method for Solution of Stiff System of Ordinary Differential Equations . Journal of Mathematics and Statistics, 4(3), 130-137. https://doi.org/10.3844/jmssp.2008.130.137

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Keywords

  • K-step
  • rational runge-kutta
  • a-stability
  • stiff ODEs