Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran
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.
Movahedinejad, A., Abdi, A., & Hojjati, G. (2016). A hybrid method with optimal stability properties for the numerical solution of stiff differential systems. Computational Methods for Differential Equations, 4(3), 217-229.
MLA
Akram Movahedinejad; Ali Abdi; Gholamreza Hojjati. "A hybrid method with optimal stability properties for the numerical solution of stiff differential systems". Computational Methods for Differential Equations, 4, 3, 2016, 217-229.
HARVARD
Movahedinejad, A., Abdi, A., Hojjati, G. (2016). 'A hybrid method with optimal stability properties for the numerical solution of stiff differential systems', Computational Methods for Differential Equations, 4(3), pp. 217-229.
VANCOUVER
Movahedinejad, A., Abdi, A., Hojjati, G. A hybrid method with optimal stability properties for the numerical solution of stiff differential systems. Computational Methods for Differential Equations, 2016; 4(3): 217-229.