Table 9 Error norms \(L_{2}\) for Example 2 when \(\alpha =0.2\), \(h^{-3}\), \(\Delta t=0.01\), and \(z\in[-1,1]\)

0.2

4.2145 × 10⁻⁴

3.8436 × 10⁻⁴

3.3911 × 10⁻⁴

2.9504 × 10⁻⁴

0.4

1.8178 × 10⁻³

1.7159 × 10⁻³

1.5938 × 10⁻³

1.4600 × 10⁻³

0.6

4.3268 × 10⁻³

4.1545 × 10⁻³

3.9567 × 10⁻³

3.7434 × 10⁻³

0.8

7.9933 × 10⁻³

7.7596 × 10⁻³

7.5042 × 10⁻³

7.2411 × 10⁻³

1.0

1.2685 × 10⁻²

1.2418 × 10⁻²

1.2144 × 10⁻²

1.1884 × 10⁻²