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Table 3 Absolute errors by LHPM with p=10 , α=0.5,0.75,0.95 , n=10 for various values of x and t for Example 3

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

x/t   0.2 0.4 0.6 0.8 1.0
0.2 α = 0.5 4.32e − 7 1.43e − 6 1.85e − 5 1.20e − 4 5.23e − 4
0.75 1.44e − 7 1.52e − 7 1.17e − 7 2.05e − 7 6.87e − 7
0.95 1.98e − 7 8.37e − 8 1.66e − 7 8.02e − 6 8.12e − 5
0.4 α = 0.5 6.94e − 7 9.31e − 7 1.79e − 5 1.12e − 4 4.88e − 4
0.75 1.88e − 8 5.10e − 7 2.09e − 6 9.79e − 7 2.42e − 6
0.95 1.08e − 7 2.67e − 7 8.99e − 7 7.08e − 6 7.67e − 5
0.6 α = 0.5 4.21e − 7 1.36e − 6 1.60e − 5 9.98e − 5 4.40e − 4
0.75 2.73e − 8 3.81e − 7 1.49e − 8 2.78e − 9 7.53e − 7
0.95 1.52e − 7 1.02e − 6 9.65e − 7 4.77e − 6 7.07e − 5
0.8 α = 0.5 1.49e − 6 1.02e − 6 1.18e − 5 8.56e − 5 3.70e − 4
0.75 6.75e − 8 7.31e − 7 1.33e − 7 2.05e − 6 5.89e − 6
0.95 3.17e − 7 3.44e − 7 1.22e − 6 8.54e − 6 5.57e − 5
1.0 α = 0.5 1.42e − 7 6.25e − 7 1.05e − 5 6.01e − 5 2.89e − 4
0.75 5.51e − 7 8.22e − 7 2.94e − 6 3.18e − 7 8.85e − 6
0.95 6.30e − 7 2.00e − 6 3.90e − 7 5.59e − 6 4.19e − 5