Table 9 The comparison of error norms for \(\alpha\) = 0.5, \(\sigma\) = 0.5, \(M\) = 80, and \(\hat{\nu }\) = 1 at \(t\) = 1 for Example 2

Present

\(L_{2}\)

1.202694e−05

1.039510e−05

8.719828e−06

\(L_{\infty }\)

1.673450e−05

1.445829e−05

1.213331e−05

Ref. [19]

\(L_{2}\)

1.24076e−04

5.4112e−05

1.9282e−05

\(L_{\infty }\)

1.75640e−04

7.7491e−05

2.8460e−05

Ref. [35]

\(L_{2}\)

1.71076e−04

7.0874e−05

2.1092e−05

\(L_{\infty }\)

2.39785e−04

1.00354e−04

3.0679e−05

Ref. [36]

\(L_{2}\)

1.1600e−04

6.1505e−05

3.4177e−05

\(L_{\infty }\)

1.6442e−04

8.7080e−05

4.8293e−05