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A Phase-Fitted And Amplification-Fitted Explicit Two-Step Hybrid Method For Second-Order Periodic Initial Value Problems

Author

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  • HANS VAN DE VYVER

    (Department of Mathematics, Katholieke Universiteit Leuven, Celestijnenlaan 200 B, B-3001 Heverlee, Belgium)

Abstract

In this paper a phase-fitted and amplification-fitted explicit two-step hybrid method is introduced. The construction is based on a modification of a fifth-order dissipative method recently developed by Franco.19Two free parameters are added in order to nullify the phase-lag and the amplification. Numerical results obtained for well-known test problems show the efficiency of the new method when it is compared with other existing codes.

Suggested Citation

  • Hans Van De Vyver, 2006. "A Phase-Fitted And Amplification-Fitted Explicit Two-Step Hybrid Method For Second-Order Periodic Initial Value Problems," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 17(05), pages 663-675.
    • Handle: RePEc:wsi:ijmpcx:v:17:y:2006:i:05:n:s0129183106009394
    DOI: 10.1142/S0129183106009394
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