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

Author(s):

Ali Abdi , Gholamreza Hojjati

Message:
Abstract:
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.
Keywords:

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

Language:
English
Published:
Iranian Journal of Numerical Analysis and Optimization, Volume:5 Issue: 2, Summer and Autumn 2015
Pages:
1 to 10
https://www.magiran.com/p1448719  
سامانه نویسندگان
  • Hojjati، Gholam Reza
    Author (2)
    Hojjati, Gholam Reza
    Professor Mathematical Sciences, University Of Tabriz, تبریز, Iran
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