Research Article

A New Approach for the Approximate Analytical Solution of Space-Time Fractional Differential Equations by the Homotopy Analysis Method

Table 3

The absolute errors for case A in Example 2.


= 0.5 = 0.75 = 1 = 0.5 = 0.75 = 1
= 1.5 = 1.75 = 2 = 1.5 = 1.75 = 2

0.30.20.809140.148120.000040.349180.085280.00031
0.41.168380.033540.000041.178920.012250.00029
0.60.712180.091070.000030.823830.094750.00026
0.80.282270.197860.000030.433600.191390.00022
0.60.20.233770.108030.000441.193580.039530.00472
0.41.068740.019580.000410.895930.053090.00443
0.60.804310.116770.000370.835150.152210.00397
0.80.444770.242450.000310.575490.252880.00335
0.90.21.633250.070790.006363.102310.323440.02261
0.40.659940.087550.005980.258620.237370.02125
0.60.674650.275020.005360.575110.285000.01904
0.80.461550.475430.004520.523160.349090.01607