Research Article

New Phase Fitted and Amplification Fitted Numerov-Type Methods for Periodic IVPs with Two Frequencies

Table 5

Comparison of the end-point global errors and the consumed CPU time in seconds (in the brackets) produced by the five methods for Problem 4.

EFRKN4F VPHA TFNTONE PFAFI PFAFII

1/4 NaN (0.76) NaN (0.61) NaN (0.53) NaN (0.42) 3.45e − 7 (0.43)
1/8 NaN (1.52) NaN (1.24) NaN (0.89) NaN (0.81) 2.14e − 8 (0.89)
1/16 NaN (3.06) NaN (2.45) NaN (1.79) NaN (1.60) 1.33e − 9 (1.78)
1/32 NaN (6.04) NaN (4.89) 0.008 (3.56) 0.82 (2.5) 3.98e − 11 (3.59)
1/64 NaN (12.07) NaN (9.73) 0.08 (7.1) 0.82 (5) 4.39e − 12 (7.1)