Table 5 The error norms of LRBF-PU with the technique presented in [26] for Example 2 at various final times when \(\alpha =0.9\)

0.1

8.335e − 07

4.026e − 07

3.904e − 07

8.2002e − 07

1.1491e − 06

3.6336e − 07

0.2

1.508e − 06

7.286e − 07

7.066e − 07

1.0500e − 06

2.7868e − 06

4.9265e − 07

0.5

2.794e − 06

1.349e − 06

1.309e − 06

1.9564e − 06

5.1939e − 06

9.1816e − 07

1.0

3.389e − 06

1.637e − 06

1.587e − 06

2.3989e − 06

6.3731e − 06

1.1266e − 06

2.0

2.493e − 06

1.204e − 06

1.168e − 06

1.8057e − 06

4.8001e − 06

8.4854e − 07

3.0

1.376e − 06

6.646e − 07

6.445e − 07

1.0196e − 06

2.7123e − 06

4.7947e − 07

4.0

6.749e − 07

3.260e − 07

3.161e − 07

5.1191e − 07

1.3626e − 06

2.4087e − 07

5.0

3.103e − 07

1.499e − 07

1.454e − 07

2.4099e − 07

6.4189e − 07

1.1347e − 07