New Phase Fitted and Amplification Fitted Numerov-Type Methods for Periodic IVPs with Two Frequencies
Phase fitted and amplification fitted Numerov-type methods for periodic initial value problems with two frequencies are investigated. A one-frequency method and a two-frequency method are constructed. The two new methods both have algebraic order five and are dispersive of order six and dissipative...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/742585 |
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| _version_ | 1849309029800607744 |
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| author | Yonglei Fang Xiong You Zhaoxia Chen |
| author_facet | Yonglei Fang Xiong You Zhaoxia Chen |
| author_sort | Yonglei Fang |
| collection | DOAJ |
| description | Phase fitted and amplification fitted Numerov-type methods for periodic initial value problems with two frequencies are investigated. A one-frequency method and a two-frequency method are constructed. The two new methods both have algebraic order five and are dispersive of order six and dissipative of order five. The two-dimensional absolute stability region for the one-frequency method and the three-dimensional absolute stability region for the two-frequency method are plotted. Numerical experiments are reported to show the efficiency and competence of the two new methods. |
| format | Article |
| id | doaj-art-05e82ed005fc4f17b43cfe3a3bfe33c3 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-05e82ed005fc4f17b43cfe3a3bfe33c32025-08-20T03:54:16ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/742585742585New Phase Fitted and Amplification Fitted Numerov-Type Methods for Periodic IVPs with Two FrequenciesYonglei Fang0Xiong You1Zhaoxia Chen2School of Mathematics and Statistics, Zaozhuang University, Zaozhuang 277160, ChinaDepartment of Applied Mathematics, Nanjing Agricultural University, Nanjing 210095, ChinaDepartment of Applied Mathematics, Nanjing Agricultural University, Nanjing 210095, ChinaPhase fitted and amplification fitted Numerov-type methods for periodic initial value problems with two frequencies are investigated. A one-frequency method and a two-frequency method are constructed. The two new methods both have algebraic order five and are dispersive of order six and dissipative of order five. The two-dimensional absolute stability region for the one-frequency method and the three-dimensional absolute stability region for the two-frequency method are plotted. Numerical experiments are reported to show the efficiency and competence of the two new methods.http://dx.doi.org/10.1155/2012/742585 |
| spellingShingle | Yonglei Fang Xiong You Zhaoxia Chen New Phase Fitted and Amplification Fitted Numerov-Type Methods for Periodic IVPs with Two Frequencies Abstract and Applied Analysis |
| title | New Phase Fitted and Amplification Fitted Numerov-Type Methods for Periodic IVPs with Two Frequencies |
| title_full | New Phase Fitted and Amplification Fitted Numerov-Type Methods for Periodic IVPs with Two Frequencies |
| title_fullStr | New Phase Fitted and Amplification Fitted Numerov-Type Methods for Periodic IVPs with Two Frequencies |
| title_full_unstemmed | New Phase Fitted and Amplification Fitted Numerov-Type Methods for Periodic IVPs with Two Frequencies |
| title_short | New Phase Fitted and Amplification Fitted Numerov-Type Methods for Periodic IVPs with Two Frequencies |
| title_sort | new phase fitted and amplification fitted numerov type methods for periodic ivps with two frequencies |
| url | http://dx.doi.org/10.1155/2012/742585 |
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