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Table 1 Absolute errors |u(x,t) u n (x,t)| by LHPM with p=8 , α=1.75,1.85,1.95 , n=3 for various values of x and t for Example 1

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

x/t   0.2 0.4 0.8 1.0
0.2 α = 1.75 1.46e − 8 7.75e − 9 8.10e − 8 5.50e − 7
1.85 2.69e − 8 2.24e − 8 4.96e − 8 5.50e − 8
1.95 6.83e − 9 6.35e − 8 8.26e − 8 2.14e − 7
0.4 α = 1.75 2.17e − 9 2.74e − 8 2.52e − 7 2.17e − 6
1.85 5.52e − 10 1.00e − 8 1.06e − 7 1.74e − 7
1.95 1.22e − 8 6.63e − 9 2.14e − 7 8.50e − 7
0.8 α = 1.75 6.03e − 8 1.11e − 7 1.08e − 6 8.72e − 6
1.85 1.31e − 8 1.44e − 7 4.63e − 7 8.25e − 7
1.95 5.08e − 8 6.69e − 8 8.41e − 7 3.55e − 6
1.0 α = 1.75 6.06e − 8 1.41e − 8 1.67e − 6 1.37e − 5
1.85 1.48e − 8 6.65e − 8 7.57e − 7 1.20e − 6
1.95 7.85e − 8 1.52e − 8 1.32e − 6 5.35e − 6