Generalized second derivative linear multistep methods for ordinary differential equations
Abstract
This paper is devoted to investigate the modified extended second derivative backward differentiation formulae from second derivative general linear methods point of view. This makes it possible to open some maneuver rooms in developing the methods with superior features by perturbing the abscissa vector of the methods. The proposed methods are constructed to have better accuracy and stability properties in comparison with the original ones. These improvements are verified by giving some numerical experiments.
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Index Terms
- Generalized second derivative linear multistep methods for ordinary differential equations
Index terms have been assigned to the content through auto-classification.
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© The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022.
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Springer-Verlag
Berlin, Heidelberg
Publication History
Published: 01 September 2022
Accepted: 08 January 2022
Received: 06 December 2021
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