A 5(4) pair explicit Runge-Kutta-Nystrom method for solving oscillatory problems
A new 5(4) pair embedded explicit Runge-Kutta-Nyström method is developed to integrate second-order differential equations of the form y"=f (x,y)where the solution is oscillatory. The embedded formula has dispersive order eight and dissipative order five for the fifth-order 5(4) pair. The 5(4)...
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| Main Authors: | , |
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| Format: | Article |
| Published: |
Global Information Publisher
2009
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| Online Access: | http://psasir.upm.edu.my/id/eprint/12643/ |
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| Summary: | A new 5(4) pair embedded explicit Runge-Kutta-Nyström method is developed to integrate second-order differential equations of the form y"=f (x,y)where the solution is oscillatory. The embedded formula has dispersive order eight and dissipative order five for the fifth-order 5(4) pair. The 5(4) pair cost four function evaluations at each step of integration. Nu-
merical comparisons with current methods such as DOPRI5, RKN5(4)D and RKN5(4)B show the efficiency of the new method developed. |
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