John P Killingbeck and Georges Jolicard 2008 J. Phys. A: Math. Theor. 41 125204 doi:10.1088/1751-8113/41/12/125204
John P Killingbeck1,2 and Georges Jolicard2
Show affiliationsAn 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.
Issue 12 (28 March 2008)
Received 22 November 2007, in final form 14 February 2008
Published 10 March 2008
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