Research Article

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

Table 2

Comparison of the end-point global errors and the consumed CPU time in seconds (in the brackets) produced by the five methods for Problem 2.

EFRKN4F VPHA TFNTONE PFAFI PFAFII

8 NaN (0.02) NaN (0.03) NaN (0.02) NaN (0.02)6.7e − 12 (0.02)
4 NaN (0.05) NaN (0.05) NaN (0.03) NaN (0.03)2.5e − 12 (0.03)
2 NaN (0.09) NaN (0.09) NaN (0.06) NaN (0.05)2.0e − 11 (0.06)
1NaN (0.17) NaN (0.19) NaN (0.13) NaN (0.11)1.8e − 11 (0.09)
NaN (0.34) NaN (0.38) NaN (0.25) NaN (0.23)1.0e − 11 (0.20)
NaN (0.70) NaN (0.77) NaN (0.5) NaN (0.47)8.0e − 12 (0.40)
NaN (1.42) NaN (1.53) NaN (1.0) NaN (0.92)1.7e − 11 (0.82)
1.2e − 12 (2.56) 1.6e − 11 (2.70) 2.3e − 12(1.75) NaN (1.86) 1.8e − 11 (1.65)