Two-sided Runge-Kutta method accurate to sixth order for second-order ordinary differential equations

DOI10.1007/BF01250583zbMath0835.65092OpenAlexW1999370832MaRDI QIDQ1909067

N. S. Golovan', N. Ya. Lyashchenko

Publication date: 11 March 1996

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01250583

zbMATH Keywords

comparison of methodssecond order ordinary differential equationssixth order of accuracytwo-sided Runge-Kutta method

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Cites Work

• Méthodes de Nystrom pour l'équation différentielle y=f(x,y)
• Zur numerischen Integration gewöhnlicher Differentialgleichungen zweiter und höherer Ordnung. Untersuchungen zu den Verfahren von Blaeß und Runge—Kutta—Nyström

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