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

Yonglei Fang, Xiong You and Zhaoxia Chen

Abstract and Applied Analysis, 2012, vol. 2012, 1-15

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:742585

DOI: 10.1155/2012/742585

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