A phase-fitted and amplification-fitted modified Runge-Kutta method of fourth order for periodic initial value problems
A new Runge-Kutta method, with phase-fitted and amplification-fitted is constructed for solving first-order ordinary differential equations with periodic solutions. This new method is based on the Runge-Kutta 3/8 Rule with fourth algebraic order. In the numerical results the new method is compared w...
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| Main Authors: | , , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
IEEE
2015
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| Online Access: | http://psasir.upm.edu.my/id/eprint/51858/1/A%20phase-fitted%20and%20amplification-fitted%20modified%20Runge-Kutta%20method%20of%20fourth%20order%20for%20periodic%20initial%20value%20problems.pdf http://psasir.upm.edu.my/id/eprint/51858/ http://ieeexplore.ieee.org/document/7357020/ |
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| Summary: | A new Runge-Kutta method, with phase-fitted and amplification-fitted is constructed for solving first-order ordinary differential equations with periodic solutions. This new method is based on the Runge-Kutta 3/8 Rule with fourth algebraic order. In the numerical results the new method is compared with the existing method; which show that the new method is more efficient. |
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