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...
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International Association of Engineers
2013
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| 在线阅读: | http://psasir.upm.edu.my/id/eprint/30366/1/Phase%20fitted%20and%20amplification%20fitted%20hybrid%20methods%20for%20solving%20second.pdf http://psasir.upm.edu.my/id/eprint/30366/ http://www.iaeng.org/IJAM/issues_v43/issue_3/index.html |
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my.upm.eprints.303662016-02-05T02:06:56Z http://psasir.upm.edu.my/id/eprint/30366/ Phase fitted and amplification fitted hybrid methods for solving second-order ordinary differential equations Samat, Faieza Ismail, Fudziah Suleiman, Mohamed 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. International Association of Engineers 2013 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/30366/1/Phase%20fitted%20and%20amplification%20fitted%20hybrid%20methods%20for%20solving%20second.pdf Samat, Faieza and Ismail, Fudziah and Suleiman, Mohamed (2013) Phase fitted and amplification fitted hybrid methods for solving second-order ordinary differential equations. IAENG International Journal of Applied Mathematics, 43 (3). pp. 99-105. ISSN 1992-9978; ESSN:1992-9986 http://www.iaeng.org/IJAM/issues_v43/issue_3/index.html English |
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English English |
| description |
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. |
| format |
Article |
| author |
Samat, Faieza Ismail, Fudziah Suleiman, Mohamed |
| spellingShingle |
Samat, Faieza Ismail, Fudziah Suleiman, Mohamed Phase fitted and amplification fitted hybrid methods for solving second-order ordinary differential equations |
| author_facet |
Samat, Faieza Ismail, Fudziah Suleiman, Mohamed |
| author_sort |
Samat, Faieza |
| title |
Phase fitted and amplification fitted hybrid methods for solving second-order ordinary differential equations |
| title_short |
Phase fitted and amplification fitted hybrid methods for solving second-order ordinary differential equations |
| title_full |
Phase fitted and amplification fitted hybrid methods for solving second-order ordinary differential equations |
| title_fullStr |
Phase fitted and amplification fitted hybrid methods for solving second-order ordinary differential equations |
| title_full_unstemmed |
Phase fitted and amplification fitted hybrid methods for solving second-order ordinary differential equations |
| title_sort |
phase fitted and amplification fitted hybrid methods for solving second-order ordinary differential equations |
| publisher |
International Association of Engineers |
| publishDate |
2013 |
| url |
http://psasir.upm.edu.my/id/eprint/30366/1/Phase%20fitted%20and%20amplification%20fitted%20hybrid%20methods%20for%20solving%20second.pdf http://psasir.upm.edu.my/id/eprint/30366/ http://www.iaeng.org/IJAM/issues_v43/issue_3/index.html |
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1643830037434073088 |
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13.251813 |