Title of article :
A hybrid method with optimal stability properties for the numerical solution of stiff differential systems
Author/Authors :
Movahedinejad ، Akram - University of Tabriz , Abdi ، Ali - University of Tabriz , Hojjati ، Gholamreza - University of Tabriz
Abstract :
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.
Keywords :
Backward differentiation formula , Hybrid methods , General linear methods , A , and A(α) , stability , Variable stepsize implementation
Journal title :
Computational Methods for Differential Equations
Journal title :
Computational Methods for Differential Equations
