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
A phase-fitted Runge–Kutta–Nyström method for the numerical solution of initial value problems with oscillating solutions
✍ Scribed by D.F. Papadopoulos; Z.A. Anastassi; T.E. Simos
- Book ID
- 108107563
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 568 KB
- Volume
- 180
- Category
- Article
- ISSN
- 0010-4655
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📜 SIMILAR VOLUMES
In the present work, we are concerned with the derivation of continuous Rung+Kutta-Nystrom methods for the numerical treatment of second-order ordinary differential equations with periodic solutions. Numerical methods used for solving such problems are better to have the characteristic of high phase
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. (~