[PDF][PDF] Second derivative generalized extended backward differentiation formulas for stiff problems

SE Ogunfeyitimi, MNO Ikhile - Journal of the Korean Society for …, 2019 - koreascience.kr
Journal of the Korean Society for Industrial and Applied Mathematics, 2019koreascience.kr
This paper presents second derivative generalized extended backward differentiation
formulas (SDGEBDFs) based on the second derivative linear multi-step formulas of Cash [1].
This class of second derivative linear multistep formulas is implemented as boundary value
methods on stiff problems. The order, error constant and the linear stability properties of the
new methods are discussed.
Abstract
This paper presents second derivative generalized extended backward differentiation formulas (SDGEBDFs) based on the second derivative linear multi-step formulas of Cash [1]. This class of second derivative linear multistep formulas is implemented as boundary value methods on stiff problems. The order, error constant and the linear stability properties of the new methods are discussed.
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