A new optimized Runge-Kutta method for solving oscillatory problems
A new explicit Runge-Kutta method of fifth algebraic order is developed in this paper, for solving second-order ordinary differential equations with oscillatory solutions. The new method has zero phase-lag, zero amplification error and zero first derivative of the phase-lag. Numerical results show t...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Academic Publications
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/51860/1/A%20new%20optimized%20Runge-Kutta%20method%20for%20solving%20oscillatory%20problems.pdf http://psasir.upm.edu.my/id/eprint/51860/ http://www.ijpam.eu/contents/2016-106-3/2/index.html |
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| Institution: | Universiti Putra Malaysia |
| Language: | English |
| Summary: | A new explicit Runge-Kutta method of fifth algebraic order is developed in this paper, for solving second-order ordinary differential equations with oscillatory solutions. The new method has zero phase-lag, zero amplification error and zero first derivative of the phase-lag. Numerical results show that the new proposed method is more efficient as compared with other Runge-Kutta methods in the scientific literature, for the numerical integration of oscillatory problems. |
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