TY  - JOUR
T1  - Generalized Rational Runge-Kutta Method for Integration of Stiff System of Ordinary Differential Equations
AU - , P.O. Babatola AU - , R.A. Ademiluyi AU - , E.A. Areo 
JO  - Journal of Modern Mathematics and Statistics
VL  - 2
IS  - 3
SP  - 78
EP  - 84
PY  - 2008
DA  - 2001/08/19
SN  - 1994-5388
DO  - jmmstat.2008.78.84
UR  - https://makhillpublications.co/view-article.php?doi=jmmstat.2008.78.84
KW  - Rational
KW  -Runge-Kutta
KW  -
KW  -convergent
KW  -consistent
KW  -effective
KW  -error bound
KW  -
KW  -implementation
KW  -development
KW  -A-stable
KW  -
AB  - 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.
ER  -