TY - JOUR AU - Babatola, P.O. AU - Ademiluyi, R.A. AU - Areo, E.A. PY - 2008 TI - K-Step Rational Runge-Kutta Method for Solution of Stiff System of Ordinary Differential Equations JF - Journal of Mathematics and Statistics VL - 4 IS - 3 DO - 10.3844/jmssp.2008.130.137 UR - https://thescipub.com/abstract/jmssp.2008.130.137 AB - 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.