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Table 2 Absolute errors by LHPM with p=10 , α=0.75,0.85,0.95 , n=10 for various values of x and t

From: Numerical solution of fractional partial differential equations by numerical Laplace inversion technique

x/t   0.1 0.2 0.3 0.4 0.5
0.2 α = 0.75 3.70e − 6 4.16e − 6 4.86e − 6 2.39e − 5 9.89e − 5
0.85 3.56e − 7 2.18e − 6 4.93e − 6 6.44e − 6 4.27e − 6
0.95 3.24e − 6 3.58e − 6 2.45e − 6 1.36e − 6 3.22e − 5
0.4 α = 0.75 1.04e − 5 5.81e − 6 3.71e − 6 6.88e − 6 1.30e − 4
0.85 8.54e − 6 4.68e − 6 9.57e − 7 2.36e − 6 6.87e − 6
0.95 1.64e − 6 3.80e − 6 2.55e − 6 5.25e − 6 1.91e − 5
0.8 α = 0.75 2.02e − 6 1.09e − 5 3.78e − 5 3.06e − 5 1.88e − 4
0.85 2.19e − 5 7.41e − 6 6.09e − 6 1.12e − 5 1.88e − 4
0.95 5.01e − 5 5.40e − 5 1.33e − 5 2.70e − 5 8.67e − 6
1.0 α = 0.75 2.27e − 5 6.16e − 5 2.44e − 5 6.16e − 5 2.33e − 4
0.85 2.10e − 5 9.47e − 5 1.88e − 5 6.15e − 5 3.98e − 5
0.95 4.03e − 5 6.86e − 6 1.74e − 5 2.91e − 5 8.56e − 5