Investigating the Stability of various implicit Runge-Kutta methods

Theory of Approximation and Applications

مقاله 6، دوره 16، شماره 2، دی 2022، صفحه 43-53   

نوع مقاله: Research Articles

نویسنده

Razieh Ketabchi^*

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

چکیده

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.

کلیدواژه‌ها

Implicit Runge Kutta method؛ Kronecker product؛ A - stability