Accurate numerical approximations to initial value problems with periodical solutions

DOI10.1007/BF02280042zbMath0774.65052OpenAlexW142202813MaRDI QIDQ2366311

A. B. Sideridis, Theodore E. Simos

Publication date: 29 June 1993

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02280042

zbMATH Keywords

periodic solutionsnumerical exampleserror estimationphase-lagexplicit Runge-Kutta methodsoscillating solutionsdissipative ordersfourth order Runge-Kutta Fehlberg method

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) 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) Error bounds for numerical methods for ordinary differential equations (65L70)

Related Items (3)

Accurate numerical approximations to initial value problems with periodical solutions ⋮ A Runge-Kutta-Nyström method for the numerical integration of special second-order periodic initial-value problems ⋮ Runge-Kutta-Nyström interpolants for the numerical integration of special second-order peridic initial-value problems

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