Gholamreza Hojjati - Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran
Leila Taheri Koltape - Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran

In the construction of efficient numerical methods for the stiff initial value problems, some second derivative multistep methods have been introduced equipping with super future point technique. In this paper, we are going to introduce a formula for the stability functions of a class of such methods. This group of methods encompasses SDBDF methods and their extensions with advanced step-point feature. This general formula, instead of obtaining the distinct stability functions for each of methods, will facilitate stability analysis of the methods.

Initial value problem, second derivative methods, stability function, advanced-step point methods, stiff systems