In this paper, family of two-stage hybrid Runge-Kutta schemes were developed, analyzed and computerized to solve second order ordinary differential equations. Their development and analysis make use of Taylor and Binomial series expansion, Dalhquist stability model test equation and Pade’s approximation techniques respectively. The theoretical results shown that the schemes are Consistent, Convergent, A-stable and. A() stable with large interval of absolute stability (-,0).
Keywords: A-stable, Accurate, Hybrid, Semi-Implicit