new approach for constructing efficient RungeKutta-Nystrom methods is introduced in this paper. Based on this new approach a new exponentially-fitted Runge-KuttaNystrGm fourth-algebraic-order method is obtained for the numerical solution of initial-value problems with oscillating solutions. The new
An exponentially-fitted Runge-Kutta method for the numerical integration of initial-value problems with periodic or oscillating solutions
✍ Scribed by T.E. Simos
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 335 KB
- Volume
- 115
- Category
- Article
- ISSN
- 0010-4655
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✦ Synopsis
An exponentially-fitted Runge-Kutta method for the numerical integration of initial-value problems wi',h periodic or oscillating solutions is developed in this paper. Numerical and theoretical results obtained for several well known problems show the efficiency of the new method. (~
📜 SIMILAR VOLUMES
The new method is exponentially fitted and trigonometrically-fitted and is of algebraic order eight. The effectiveness of the exponential fitting is proved by the application of the new method and the classical one (with constant coefficients) to well-known periodic problems. (~) 2003 Elsevier Scien
A symplectic exponentially fitted modified Runge-Kutta-Nystro ¨m method is derived in this paper. It is a two-stage second-order method with FSAL-property. An application to some well known orbital problems shows the properties of the developed method.