Research Article

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

Table 3

Comparison of the end-point global errors and the consumed CPU time in seconds (in the brackets) produced by the five methods for Problem 3 with .

EFRKN4F VPHA TFNTONE PFAFI PFAFII

2 NaN (0) NaN (0) NaN (0) NaN (0) 2.6e − 11 (0)
1 NaN (0) NaN (0) 0.01 (0) NaN (0) 3.0e − 11 (0)
NaN (0.015)NaN (0.015)0.35 (0.015) 1.38 (0.015)2.9e − 12 (0.015)
NaN (0.016)NaN (0.016)0.025 (0.016) 1.43 (0.016)4.7e − 11 (0.016)
NaN (0.016)NaN (0.016)3.3e − 3 (0.016) 1.56 (0.016)1.4e − 11 (0.015)
NaN (0.031)NaN (0.016)2.6e − 3 (0.016) 1.68 (0.016)1.5e − 11 (0.031)
NaN (0.047) NaN (0.031) 8.6e − 4 (0.031) 1.42 (0.031) 1.3e − 12 (0.031)