A singly diagonally implicit Runge-Kutta-Nyström method for solving oscillatory problems.
In this paper a singly diagonally implicit Runge-Kutta-Nyström (RKN) method is developed for second-order ordinary differential equations with periodical solutions. The method has algebraic order four and phase-lag order eight at a cost of four function evaluations per step. This new method is m...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
IAENG - International Association of Engineers
2011
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| Summary: | In this paper a singly diagonally implicit Runge-Kutta-Nyström (RKN) method is developed for second-order
ordinary differential equations with periodical solutions. The
method has algebraic order four and phase-lag order eight at a
cost of four function evaluations per step. This new method is
more accurate when compared with current methods of similar
type for the numerical integration of second-order differential equations with periodic solutions, using constant step size. |
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