Canonical Runge-Kutta-Nyström (RKN) methods for second order ordinary differential equations
✍ Scribed by Meng-Zhao Qin; Wen-Jie Zhu
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 427 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0898-1221
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📜 SIMILAR VOLUMES
Chawla, Jain and Subramanian studied the application of Nyström methods to a class of singular initial value problems. Following their approach, we generalize this class by applying the Nyström method to the initial value problem for an equation of the form y + p(t)y + q(t, y(t)) = 0, t ∈ (0, 1] whe
In this work we construct new Runge-Kutta-Nyström methods especially designed to integrate exactly the test equation y = -w 2 y. We modify two existing methods: the Runge-Kutta-Nyström methods of fifth and sixth order. We apply the new methods to the computation of the eigenvalues of the Schrödinger