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

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.