Some efficient Nordsieck integration methods for IVPs

نویسندگان
Abdi, A. ID 1
Hojjati, G. ID 2
Barghi Oskouie, N. ID 3

1 University of Tabriz, Tabriz,

2 University of Tabriz, Tabriz,

3 University of Tabriz, Tabriz,

doi
10.22067/ijnao.v8i1.57845
چکیده

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.

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