A hybrid method with optimal stability properties for the numerical solution of stiff differential systems

نویسندگان
Movahedinejad, Akram ID 1
Hojjati, Gholamreza ID 2
Abdi, Ali ID 3

1 Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran

2 Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran

3 Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran

doi
چکیده

In this paper, we consider the construction of a new class of numerical methods based on the backward differentiation formulas (BDFs) that be equipped by including two off--step points. We represent these methods from general linear methods (GLMs) point of view which provides an easy process to improve their stability properties and implementation in a variable stepsize mode. These superiorities are confirmed by the numerical examples.

کلیدواژه‌ها
Backward differentiation formula, hybrid methods, General linear methods, $A$-- and $A(alpha)$--stability, Variable stepsize implementation