EXPLICIT EIGHTH ORDER NUMEROV-TYPE METHODS WITH REDUCED NUMBER OF STAGES FOR OSCILLATORY IVPs

I. Th. Famelis ()
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I. Th. Famelis: Department of Mathematics, TEI of Athens, GR12210 Athens, Greece

International Journal of Modern Physics C (IJMPC), 2008, vol. 19, issue 06, 957-970

Abstract: Using a new methodology for deriving hybrid Numerov-type schemes, we present new explicit methods for the solution of second order initial value problems with oscillating solutions. The new methods attain algebraic order eight at a cost of eight function evaluations per step which is the most economical in computational cost that can be found in the literature. The methods have high amplification and phase-lag order characteristics in order to suit to the solution of problems with oscillatory solutions. The numerical tests in a variety of problems justify our effort.

Keywords: Initial value problem; second order; numerov; order conditions; periodic problems; phase-lag; 04.20.E; 02.60 (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1142/S0129183108012625

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