Investigating the Stability of various implicit Runge-Kutta methods

الموضوعات :

Razieh Ketabchi ¹

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

تاريخ الإرسال : 24 الثلاثاء , صفر, 1444 تاريخ التأكيد : 20 الأربعاء , جمادى الأولى, 1444 تاريخ الإصدار : 05 السبت , ربيع الأول, 1444

الکلمات المفتاحية: Implicit Runge Kutta method, Kronecker product, A - stability,

ملخص المقالة :

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.