Table 2 The error norms of LRBF-PU with the technique presented in [26] for Example 1 at various final times when \(\alpha =0.5\)

0.1

7.547e − 07

3.774e − 07

3.659e − 07

7.5392e − 07

2.0711e − 06

3.6612e − 07

0.5

2.529e − 06

1.265e − 06

1.226e − 06

1.7717e − 06

4.8668e − 06

8.6034e − 07

1.0

3.068e − 06

1.534e − 06

1.488e − 06

2.1754e − 06

5.9760e − 06

1.0564e − 06

2.0

2.258e − 06

1.129e − 06

1.095e − 06

1.6402e − 06

4.5056e − 06

7.9649e − 07

2.5

1.712e − 06

8.559e − 07

8.299e − 07

1.2589e − 06

3.4582e − 06

6.1133e − 07

3.0

1.246e − 06

6.229e − 07

6.041e − 07

9.2761e − 07

2.5482e − 06

4.5046e − 07

3.5

8.815e − 07

4.408e − 07

4.274e − 07

6.6456e − 07

1.8256e − 06

3.2272e − 07

4.0

6.111e − 07

3.055e − 07

2.963e − 07

4.6642e − 07

1.2813e − 06

2.2650e − 07

4.5

4.170e − 07

2.085e − 07

2.022e − 07

3.2225e − 07

8.8524e − 07

1.5649e − 07

5.0

2.810e − 07

1.405e − 07

1.362e − 07

2.1991e − 07

6.0410e − 07

1.0679e − 07