Higher order continuous solution of \(y=f(x,y,y')\) and \(y=f(x,y)\) initial value problems

DOI10.1016/0898-1221(88)90199-XzbMath0676.65083OpenAlexW2015506447MaRDI QIDQ1122949

Diran Sarafyan, Curtis Outlaw, Leroy Derr

Publication date: 1988

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(88)90199-x

zbMATH Keywords

comparison of methodssystemsRunge-Kutta type methodscontinuous methodautomatic step size correction

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Cites Work

• Unnamed Item
• Continuous approximate solution of ordinary differential equations and their systems
• An investigation of Runge-Kutta processes, and equivalence of scalar and vector cases
• A direct method for the numerical solution of \(y=f(x,y)\)
• Klassische Runge-Kutta-Nyström-Formeln mit Schrittweiten-Kontrolle für Differentialgleichungen \(\ddot x=f(t,x,\dot x)\)
• A sixth-order imbedded Runge-Kutta algorithm with continuously variable weights

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