Research Article
New Phase Fitted and Amplification Fitted Numerov-Type Methods for Periodic IVPs with Two Frequencies
Table 4
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 |
| | 1/8 | NaN (0.02) | NaN (0.02) | 0.29 (0.01) | NaN (0.01) | 5.7e − 7 (0.02) | | 1/16 | NaN (0.03) | NaN (0.03) | 0.05 (0.02) | 1.76 (0.02) | 8.3e − 8 (0.03) | | 1/32 | NaN (0.06) | NaN (0.06) | 8.8e − 3 (0.03) | 1.91 (0.03) | 7.5e − 8 (0.05) | | 1/64 | NaN (0.11) | NaN (0.11) | 8.6e − 3 (0.06) | 2.01 (0.05) | 4.1e − 8 (0.08) | | 1/128 | NaN (0.20) | NaN (0.23) | 1.8e − 3 (0.14) | 2.07 (0.08) | 3.3e − 8 (0.14) | | 1/256 | NaN (0.43) | NaN (0.45) | 9.0e − 5 (0.27) | 2.10 (0.17) | 1.1e − 8 (0.27) | | 1/512 | NaN (0.89) | NaN (0.93) | 1.8e − 6 (0.53) | 2.11 (0.36) | 4.6e − 9 (0.53) |
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