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New Phase Fitted and Amplification Fitted Numerov-Type Methods for Periodic IVPs with Two Frequencies

Author

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  • Yonglei Fang
  • Xiong You
  • Zhaoxia Chen

Abstract

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.

Suggested Citation

  • Yonglei Fang & Xiong You & Zhaoxia Chen, 2012. "New Phase Fitted and Amplification Fitted Numerov-Type Methods for Periodic IVPs with Two Frequencies," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-15, October.
    • Handle: RePEc:hin:jnlaaa:742585
    DOI: 10.1155/2012/742585
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