SAMS Subject Classification Number: 5, 10

In this presentation, A mathematical framework of checking accuracy of numerical methods from mathematical software is been developed and investigated. Rössler is used as case study as its analytical solution is non-existence. The algorithms investigated from Mathcad software includes Adams method, AdamsBDF, Runge-Kutta fixed. The estimation of global and local residuals are shown. The graphical results are plotted on an interval of 0 $\le t\le$ 150.