High order second derivative methods with Runge--Kutta stability for the numerical solution of stiff ODEs

نویسندگان
Abdi, A. ID 1
Hojjati, G. ID 2

1 Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.

2 Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.

doi
10.22067/ijnao.v5i2.40344
چکیده

‎We describe the construction of second derivative general linear methods (SGLMs) of orders five and six‎. ‎We will aim for methods which are A--stable and have Runge--Kutta stability property‎. ‎Some numerical results are given to show the efficiency of the constructed methods in solving stiff initial value problems‎.

کلیدواژه‌ها
Ordinary differential equation, General linear methods, Runge--Kutta stability, A--stability, Second derivative methods