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An exponentially-fitted Runge-Kutta method for the numerical integration of initial-value problems with periodic or oscillating solutions. (English) Zbl 1001.65080
Summary: An exponentially-fitted Runge-Kutta method for the numerical integration of initial-value problems with periodic or oscillating solutions is developed. Numerical and theoretical results obtained for several well known problems show the efficiency of the new method.

##### MSC:
 65L06 Multistep, Runge-Kutta, and extrapolation methods 65L05 Initial value problems for ODE (numerical methods) 34C10 Qualitative theory of oscillations of ODE: zeros, disconjugacy and comparison theory 34A34 Nonlinear ODE and systems, general 34C25 Periodic solutions of ODE 70M20 Orbital mechanics (general mechanics)
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##### References:
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