Phase fitted and amplification fitted hybrid methods for solving second-order ordinary differential equations
Two fifth-order explicit hybrid methods are developed. Based on these methods, phase fitted and amplification fitted methods are constructed by vanishing both the phase-lag and the dissipation error. For the phase fitted and amplification fitted methods, computation of the output stage is depend...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English English |
| Published: |
International Association of Engineers
2013
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| Online Access: | http://psasir.upm.edu.my/id/eprint/30366/1/Phase%20fitted%20and%20amplification%20fitted%20hybrid%20methods%20for%20solving%20second.pdf |
| Summary: | Two fifth-order explicit hybrid methods are
developed. Based on these methods, phase fitted and
amplification fitted methods are constructed by vanishing both the phase-lag and the dissipation error. For the phase fitted and amplification fitted methods, computation of the output stage is dependent on the frequency of the problem being solved, thus the methods can only be applied when the
frequency is known in advance. Numerical comparisons that
have been carried out show the advantage of the new methods
for solving several second-order ordinary differential
equations with oscillating solutions. |
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