Some efficient Nordsieck integration methods for IVPs

Author(s):

N. Barghi Oskouie , A. Abdi , G. Hojjati

Abstract:
In this paper, in continuation of the construction of efficient numerical methods for stiff IVPs, we construct type two Nordsieck second derivative general linear methods with order p = s, where s is the number of internal stages, and stage order q = p. Implementation of the constructed methods with fixed and variable stepsize is discussed which verifies their efficiency.
Keywords:

Stiff differential equations , Nordsieck second derivative general linear methods , A- , L-stability , Variable stepsize implementation

Language:
English
Published:
Iranian Journal of Numerical Analysis and Optimization, Volume:8 Issue: 1, Winter and Spring 2018
Pages:
111 to 128
https://www.magiran.com/p1811502  
سامانه نویسندگان
  • Author (3)
    Gholam Reza Hojjati
    Professor Mathematical Sciences, University Of Tabriz, Tabriz, Iran
    Hojjati، Gholam Reza
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