Table 2 Absolute errors by LHPM with $\mathit{p}\mathbf{=}\mathbf{10}$ , $\mathit{\alpha }\mathbf{=}\mathbf{0.75}\mathbf{,}\mathbf{0.85}\mathbf{,}\mathbf{0.95}$ , $\mathit{n}\mathbf{=}\mathbf{10}$ for various values of x and t

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