Table 1: Comparison of the end-point global errors and the consumed CPU time in seconds (in the brackets) produced by the five methods for Problem 1.

EFRKN4F VPHA TFNTONE PFAFI PFAFII

1 NaN (0.09) 674.5 (0.08) 63.2 (0.06) 0.27 (0.06) 7.9e − 3 (0.06)
0.17 (1.19) 12.7 (0.13) 1.99 (0.11) 0.04 (0.13) 1.3e − 3 (0.11)
4.6e − 3 (0.34) 2.3e − 2 (0.28) 2.7e − 3 (0.23) 1.5e − 4 (0.23) 1.1e − 5 (0.23)
1.5e − 4 (0.71) 2.4e − 4 (0.53) 2.8e − 5 (0.47) 2.3e − 6 (0.48) 1.9e − 7 (0.48)
0.7e − 6 (1.39) 3.4e − 6 (1.13) 1.43e − 7 (0.95) (0.95) 4.9e − 9 (0.95)