Research Article

Numerical Methods for Pricing American Options with Time-Fractional PDE Models

Table 1

Prices of American put option at .

, , , , ,

LTMFDMLTMFDM

1.0 1.2189 1.2362 3.4116 3.4792
0.9 1.1771 1.1912 3.2651 3.3157
0.7 1.0959 1.1028 2.9817 3.0071
0.4 0.9778 0.9793 2.5770 2.5829
0.2 0.9005 0.9002 2.3184 2.3191

CPU time (s) 1.65 234.68 1.73 241.34

, , , , ,

LTM FDM LTM FDM

1.0 1.1877 1.2020 3.3325 3.3834
0.9 1.1485 1.1604 3.1918 3.2297
0.7 1.0722 1.0802 2.9208 2.9400
0.4 0.9609 0.9657 2.5347 2.5397
0.2 0.8877 0.8922 2.2876 2.2898

CPU time (s) 1.53 239.21 1.98 247.22