On modified TDRKN methods for second-order systems of differential equations

DOI10.1080/00207160.2017.1343943zbMath1390.65050OpenAlexW2716004784MaRDI QIDQ4641522

Xilin Hou, Xiong You, Julius Osato Ehigie, Manman Zou

Publication date: 17 May 2018

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2017.1343943

zbMATH Keywords

dispersion errortrigonometrical fittingdissipation errormodified Runge-Kutta-Nyström methodsmixed collocation

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) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (4)

Exponentially fitted and trigonometrically fitted two-derivative Runge-Kutta-Nyström methods for solving \(y^{\prime \prime}(x) = f \left(x, y, y^\prime\right)\) ⋮ THDRK methods with vanished phase-lag and its first derivative for the Schrödinger equation ⋮ Trigonometrically fitted two-derivative Runge-Kutta-Nyström methods for second-order oscillatory differential equations ⋮ Adaptive multi-step Runge-Kutta-Nyström methods for general second-order ordinary differential equations

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