Implicit single step methods by spline-like functions for solution of ordinary differential equations

DOI10.1016/0898-1221(88)90005-3zbMath0668.65054OpenAlexW2064144532MaRDI QIDQ1118362

B. Ráczkevi, Gy. Molnárka

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)90005-3

zbMATH Keywords

\(A\)-stabilityexamplesRunge-Kutta algorithm\(A\)-stable methodsimplicit single step methodsone step implicit algorithmsspline-like approximation

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (2)

DEVELOPMENT OF A NONLINEAR HYBRID NUMERICAL METHOD ⋮ Implicit extension of Taylor series method with numerical derivatives for initial value problems

Cites Work

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• Continuous approximate solution of ordinary differential equations and their systems
• A sixth-order imbedded Runge-Kutta algorithm with continuously variable weights
• Spline function approximations for solutions of ordinary differential equations
• Single Step Methods and Low Order Splines for Solutions of Ordinary Differential Equations

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