EXPLICIT EIGHTH ORDER TWO-STEP METHODS WITH NINE STAGES FOR INTEGRATING OSCILLATORY PROBLEMS

Ch. Tsitouras ()
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Ch. Tsitouras: Department of Applied Sciences, TEI of Chalkis, GR34400, Psahna, Greece

International Journal of Modern Physics C (IJMPC), 2006, vol. 17, issue 06, 861-876

Abstract: We present a new explicit hybrid two step method for the solution of second order initial value problem. It costs only nine function evaluations per step and attains eighth algebraic order so it is the cheapest in the literature. Its coefficients are chosen to reduce amplification and phase errors. Thus the method is well suited for facing problems with oscillatory solutions. After implementing a MATLAB program, we proceed with numerical tests that justify our effort.

Keywords: Initial value problem; second order; Numerov; order conditions; phase-lag; 04.20.E; 02.60 (search for similar items in EconPapers)
Date: 2006
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Citations: View citations in EconPapers (5)

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DOI: 10.1142/S0129183106009357

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