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, issue 1

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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https://doi.org/10.1155/2012/742585

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:742585

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