A class of self-starting methods for the numerical solution ofy″=f(x,y)

DOI10.1007/BF01939405zbMath0233.65042OpenAlexW2053660463MaRDI QIDQ5641982

Peter B. Worland, P. C. Chakravarti

Publication date: 1971

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01939405

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (8)

Embedded diagonally implicit Runge-Kutta-Nystrom 4(3) pair for solving special second-order IVPs ⋮ Direct two-point block one-step method for solving general second-order ordinary differential equations ⋮ A stability and error analysis of block methods for the numerical solution ofy″=f(x,y) ⋮ Verallgemeinerte \(k\)-Schrittverfahren der Ordnung \(p=3k-m+2\) und der Ordnung \(p=2k-m+1\) zur numerischen Lösung von Anfangswertaufgaben bei Differentialgleichungen \(m\)-ter Ordnung der Form \(y^{(m)}=f(x,y)\) ⋮ Zero-dissipative phase-fitted hybrid methods for solving oscillatory second order ordinary differential equations ⋮ Optimized fourth-order Runge-Kutta method for solving oscillatory problems ⋮ Accuracy of Symmetric Multi-Step Methods for the Numerical Modelling of Satellite Motion ⋮ A direct method for the numerical solution of \(y=f(x,y)\)

Cites Work

• A method for the numerical integration of differential equations of second order without explicit first derivatives
• A Runge‐Kutta Method for the Numerical Integration of the Differential Equation y″ = f(x, y)
• On Runge-Kutta processes of high order
• The Numerical Solution of Second-Order Differential Equations not Containing the First Derivative Explicitly
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