Computational Methods for Differential Equations A hybrid method with optimal stability properties for the numerical solution of stiff differential systems

Akram Movahedinejad, Ali Abdi, Gholamreza Hojjati
2016 unpublished
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.