Investigating the Stability of various implicit Runge-Kutta methods

Subject Areas : Applied Mathematics

Razieh Ketabchi ¹

1 - Department of Mathematics, Mobarakeh Branch, Islamic Azad University, Isfahan, Iran

Received: 2022-09-20 Accepted : 2022-12-14 Published : 2022-10-01

Keywords: Implicit Runge Kutta method, Kronecker product, A - stability,

Abstract :

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.