A class of hybrid linear multistep methods with A (ɑ)-stability properties for stiff IVPs in ODEs
RI Okuonghae, MNO Ikhile - Journal of Numerical Mathematics, 2013 - degruyter.com
RI Okuonghae, MNO Ikhile
Journal of Numerical Mathematics, 2013•degruyter.com… 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(α)-stable for k = 1,...,9. … In this
section, we investigate the stability properties of the discrete hybrid linear multistep method
defined in (2.3) which have been obtained from the algorithm in (2.1), (2.2) for a given value
of k = 1,...,9. Applying the resulting discrete scheme of (2.3) for a fixed step number k to the …
with reasonable error order for the numerical solution of stiff initial value problems (IVPs) in
ordinary differential equations (ODEs). The methods are A(α)-stable for k = 1,...,9. … In this
section, we investigate the stability properties of the discrete hybrid linear multistep method
defined in (2.3) which have been obtained from the algorithm in (2.1), (2.2) for a given value
of k = 1,...,9. Applying the resulting discrete scheme of (2.3) for a fixed step number k to the …
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.
De Gruyter