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
✦ LIBER ✦
A four-stage implicit Runge-Kutta-Nyström method with variable coefficients for solving periodic initial value problems
✍ Scribed by Kazufumi Ozawa
- Publisher
- Japan Society for Industrial and Applied Mathematics
- Year
- 1999
- Tongue
- English
- Weight
- 896 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0916-7005
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📜 SIMILAR VOLUMES
Continuous Runge-Kutta-Nyström methods f
✍
G. Papageorgiou; I.Th. Famelis
📂
Article
📅
2001
🏛
Elsevier Science
🌐
English
⚖ 763 KB
Exponentially-fitted Runge-Kutta-Nyström
✍
T.E. Simos
📂
Article
📅
2002
🏛
Elsevier Science
🌐
English
⚖ 545 KB
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