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Finite difference order doubling in two dimensions

John P Killingbeck1,2 and Georges Jolicard2

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An order doubling process previously used to obtain eighth-order eigenvalues from the fourth-order Numerov method is applied to the perturbed oscillator in two dimensions. A simple method of obtaining high order finite difference operators is reported and an odd parity boundary condition is found to be effective in facilitating the smooth operation of the order doubling process.


PACS

02.70.Bf Finite-difference methods

MSC

65M06 Finite difference methods

Subjects

Computational physics

Dates

Issue 12 (28 March 2008)

Received 22 November 2007, in final form 14 February 2008

Published 10 March 2008



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