Table 8 Errors for \(p=10\), \(\sigma =\frac{1}{12}\), \(k=0.00001\), \(h=0.1\) and comparison of \(L_{\infty }\) error with [5, 15, 27] for Example 4

0.01

3.9805(−4)

1.6355(−3)

1.1594(−4)

–

7.7405(−3)

9.2114(−4)

2.2071(−2)

0.05

1.7221(−3)

4.4270(−3)

3.1382(−4)

–

6.3762(−2)

2.9608(−2)

7.2316(−2)

0.1

2.8226(−3)

6.8615(−3)

4.8640(−4)

5.6353(−3)

1.6196(−1)

1.2806(−2)

1.0121(−1)

0.2

3.5029(−3)

8.2930(−3)

5.8787(−4)

2.3376(−2)

–

–

–

0.3

3.5726(−3)

8.4542(−3)

5.9930(−4)

5.9437(−2)

–

–

–