Investigating the Stability of various implicit Runge-Kutta methods

In this article, the aim is to study the non-explicit Runge-Kutta methods. The fol-lowing is the classification of these methods and how to implement them. To reduce the functions associated with their implementation, the concepts of sustainability related to such methods have been compared computationally with an emphasis on the non-explicit single method.

Keywords:

Implicit Runge Kutta method , Kronecker product , A - stability