شماره ركورد كنفرانس :
3502
عنوان مقاله :
Hybrid BDF with two off-step points for stiff initial value problems
Author/Authors :
A Movahedinejad Faculty of Mathematical Sciences - University of Tabriz , G Hojjati Faculty of Mathematical Sciences - University of Tabriz , S Fazeli Marand faculty of engineering - University of Tabriz
كليدواژه :
Stiff ODEs Multistep Methods , Hybrid Methods , General Linear Methods , A-stability , A(α)- stability
عنوان كنفرانس :
چهل و پنجمين كنفرانس رياضي ايران
چكيده لاتين :
In this paper, we present the details of hybrid methods which are based on backward differenti-
ation formula (BDF) for the numerical solution of ordinary differential equations (ODEs). In these hybrid
BDF, which are considered from general linear methods point of view, two additional off-step points have
been used in the rst derivative of the solution to improve the absolute stability regions. The constructed
methods are A(α)-stable up to order 9 so that, as it is shown in the numerical experiments, they are superior
for stiff systems.
