ABSTRACT
There are countable number of governing equations that modelled either chaotic or stiff differential systems with high level of nonlinearity before scientists, engineers, and experts in chemistry. These type of equations are often solved by using explicit or diagonally implicit methods which has been found to be deficient. Due to this, implicit symmetric Runge-Kutta integration schemes are proposed in this work because of its A-stability advantage. Our further attention was devoted to the solution of Lorenz system in order to establish some numerical anomaly associated with the real life problems. The studies have led to the better understanding of the chaotic behavior of the system through the phase space, trajectories and attractors generated by illustrating the state of the system at time (t) with a single point in space.
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