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)