Block hybrid method using trigonometric basis for initial value problems with oscillating solutions
✍ Scribed by F. F. Ngwane, S. N. Jator
- Book ID
- 120755097
- Publisher
- Springer US
- Year
- 2012
- Tongue
- English
- Weight
- 398 KB
- Volume
- 63
- Category
- Article
- ISSN
- 1017-1398
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
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
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 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