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A low-order embedded Runge-Kutta method for periodic initial-value problems. (English) Zbl 0773.65052
Authors’ summary: An embedded Runge-Kutta-Fehlberg method is developed. It should be noted that this embedded method is produced using the Runge- Kutta-Fehlberg method with algebraic order four to estimate a truncation phase-lag error of algebraic order three. The numerical results indicate that this new method is efficient for the numerical solution of differential equations with periodic solution, using variable stepsize.
Reviewer: F.Ling (Hoboken)

MSC:
65L06Multistep, Runge-Kutta, and extrapolation methods
65L05Initial value problems for ODE (numerical methods)
65L50Mesh generation and refinement (ODE)
34A34Nonlinear ODE and systems, general
34C25Periodic solutions of ODE
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References:
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