A PHASE-FITTED AND AMPLIFICATION-FITTED EXPLICIT TWO-STEP HYBRID METHOD FOR SECOND-ORDER PERIODIC INITIAL VALUE PROBLEMS

Hans van de Vyver ()
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Hans van de Vyver: Department of Mathematics, Katholieke Universiteit Leuven, Celestijnenlaan 200 B, B-3001 Heverlee, Belgium

International Journal of Modern Physics C (IJMPC), 2006, vol. 17, issue 05, 663-675

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.

Keywords: Numerical solution; second-order IVPs; two-step methods; explicit hybrid methods; oscillating solutions; phase fitting; variable coefficients (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1142/S0129183106009394

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