Efficient two-derivative Runge-Kutta-Nyström methods for solving general second-order ordinary differential equations \(y^{\prime \prime}(x) = f(x, y, y^\prime)\)

DOI10.1155/2018/2393015zbMath1417.65137OpenAlexW2791096642WikidataQ62630591 ScholiaQ62630591MaRDI QIDQ1727024

Tahani Salama Mohamed, Nik Mohd Asri Nik Long, Zarina Bibi Ibrahim, Norazak Senu

Publication date: 20 February 2019

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/2393015

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (2)

Exponentially fitted and trigonometrically fitted two-derivative Runge-Kutta-Nyström methods for solving \(y^{\prime \prime}(x) = f \left(x, y, y^\prime\right)\) ⋮ On the generalisation of Padé approximation approach for the construction of \(p\)-stable hybrid linear multistep methods

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