Notes on the order of convergence, consistency and stability properties of newly derived schemes

In this paper, two numerical integration methods for solving Initial Value Problems (IVPs) in Ordinary Differential Equations (ODEs), namely “Third Order One Step Scheme (TOOSS) and Second (SOOSS)” have been considered. The order of convergence, consistency the stability properties schemes investigated. From analyses, it is observed that SOOSS TOOSS second convergence third respectively. It also both are consistent stable. Moreover, three IVPs stiff differential equations were solved to examine performance terms absolute relative errors. Hence, results show performs better than because its higher accuracy. Key words: Accuracy, consistency, final error, region, equation.