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A modified Runge-Kutta method for the numerical solution of ODE's with oscillation solutions |
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| Authors: | TE Simos |
| Institution: | Laboratory of Applied Mathematics and Computers Technical University of Crete Kounoupidiana, 73100, Hania, Crete, Greece |
| Abstract: | A modified Runge-Kutta method with minimal phase-lag is developed for the numerical solution of Ordinary Differential Equations with oscillating solutions. The method is based on the accurate Runge-Kutta method of Sharp and Smart RK4SS(5) (see 1]) of order five. Numerical and theoretical results show that this new approach is more efficient, compared with the fifth order Runge-Kutta Sharp and Smart method. |
| Keywords: | Runge-Kutta methods Phase-lag Oscillating solutions |
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