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

Document Type : Research Paper

Authors

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.

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