Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 4 Absolute errors by LHPM with $α = 0.8, 0.85, 0.90, 0.95, 0.99$ , $n = 2$ , $x = 0.5$ for various values of t for Example 4

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

α/t	0.2	0.4	0.6	0.8	1.0
0.80	1.3346e − 8	5.2110e − 6	1.7455e − 4	0.0022	0.0168
0.85	9.3581e − 9	3.9129e − 6	1.3612e − 4	0.0018	0.0136
0.90	6.5531e − 9	2.9345e − 6	1.0604e − 4	0.0014	0.0110
0.95	4.5828e − 9	2.1981e − 6	8.2538e − 5	0.0011	0.0089
0.99	3.4393e − 9	1.7429e − 6	6.7497e − 5	9.3087e − 4	0.0075

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