A class of hybrid linear multistep methods with A(ɑ)-stability properties for stiff IVPs in ODEs

Abstract

Abstract In this paper, we consider a family of hybrid linear multistep methods (LMM) with reasonable error order for the numerical solution of stiff initial value problems (IVPs) in ordinary differential equations (ODEs). The methods are A(ɑ)-stable for k = 1, ...,9.