Abstract and Applied Analysis / 2013 / Article / Tab 1

Research Article

New Phase-Fitted and Amplification-Fitted Fourth-Order and Fifth-Order Runge-Kutta-Nyström Methods for Oscillatory Problems

Table 1

Summary of the properties of the methods.

Method DPCDSC S.I/P.I

SRKN3V (0, 7.57)
PFERKN4P
OPTRKN4P
RKN4G (0, 8.77)
PFAFRKN4 (0, 8.94)

OPTRKN5K1
OPTRKN5K2
RKN5H
PFAFRKN5 (0, 8.01)

Note: .
is principal local truncation error constant for .
is principal local truncation error constant for .
DPC is dispersion constant.
DSC is dissipation constant.
P.I is periodicity interval.
S.I is stability interval.

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