NUMEROV-TYPE METHODS FOR OSCILLATORY LINEAR INITIAL VALUE PROBLEMS

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), 2009, vol. 20, issue 03, 383-398

Abstract: We present a new explicit Numerov-type method for the solution of second-order linear initial value problems with oscillating solutions. The new method attains algebraic order seven at a cost of six function evaluations per step. The method has the characteristic of zero dissipation and high phase-lag order making it suitable for the solution of problems with oscillatory solutions. The numerical tests in a variety of problems justify our effort.

Keywords: Linear initial value problem; Numerov; order conditions; phase-lag; oscillating solutions (search for similar items in EconPapers)
Date: 2009
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DOI: 10.1142/S0129183109013698

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