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Theory and Modern Applications

Table 2 The space-convergent orders and errors of PASE-I scheme solution (\(N=1000\))

From: A class of intrinsic parallel difference methods for time-space fractional Black–Scholes equation

M

α

\(L^{2}_{h,k}\)

Order1

α

\(L^{2}_{h,k}\)

Order1

10

 

0.03163555

 

0.01483056

20

 

0.00784561

2.011587

 

0.00367798

1.989704

40

0.3

0.00196925

1.997240

0.7

0.00092317

2.017417

80

 

0.00049034

2.005782

 

0.00022987

1.954373

160

 

0.00012307

1.994240

 

0.00005769

1.979276