New pairs of embedded Runge-Kutta methods specially adapted to the numerical solution of first order systems of differential equations which are assumed to possess oscillating solutions are obtained. These pairs have been derived taking into account not only the usual properties of accuracy, stabili
A Runge-Kutta Fehlberg method with phase-lag of order infinity for initial-value problems with oscillating solution
✍ Scribed by T.E. Simos
- Book ID
- 108022433
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 381 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
A new Runge-Kutta-pair of orders eight and seven is presented here. The proposed pair when applied with small step-size to the test equation ~ = /wy, w real, has amplification factors very near to unit. This is very important then, because the numerical solution stays close to the cyclic solution of
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
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