Table 1 Example 6.1 corresponding maximum pointwise errors and the rate of convergence such as \(E_{\varepsilon }^{N,\Delta t}\), \(E^{N,\Delta t}\), \(p^{N,\Delta t}\)

1

1.1975e−02

9.7873e−03

6.8849e−03

4.3534e−03

2.5602e−03

1.4343e−03

7.7788e-04

10⁻¹

1.9191e−02

1.4963e−02

9.7686e−03

5.7576e−03

3.1867e−03

1.6990e−03

8.8579e-04

10⁻²

2.5748e−02

1.8063e−02

1.1329e−02

6.4557e−03

3.4830e−03

1.8181e−03

9.3259e-04

10⁻³

2.8666e−02

1.9764e−02

1.2063e−02

6.7764e−03

3.6094e−03

1.8676e−03

9.5132e-04

10⁻⁴

2.9667e−02

2.0342e−02

1.2358e−02

6.9012e−03

3.6589e−03

1.8864e−03

9.5841e-04

10⁻⁵

2.9991e−02

2.0528e−02

1.2473e−02

6.9477e−03

3.6771e−03

1.8933e−03

9.6099e-04

10⁻⁶

3.0094e−02

2.0588e−02

1.2515e−02

6.9646e−03

3.6838e−03

1.8958e−03

9.6192e-04

10⁻⁷

3.0127e−02

2.0607e−02

1.2528e−02

6.9707e−03

3.6861e−03

1.8967e−03

9.6224e-04

10⁻⁸

3.0137e−02

2.0613e−02

1.2532e−02

6.9728e−03

3.6869e−03

1.8970e−03

9.6236e-04

10⁻⁹

3.0140e−02

2.0614e−02

1.2534e−02

6.9736e−03

3.6872e−03

1.8971e−03

9.6240e-04

10⁻¹⁰

3.0142e−02

2.0615e−02

1.2534e−02

6.9738e−03

3.6873e−03

1.8972e−03

9.6241e-04

\(E^{N,\Delta t}\)

3.0142e−02

2.0615e−02

1.2534e−02

6.9738e−03

3.6873e−03

1.8972e−03

9.6241e-04

\(p^{N,\Delta t}\)

5.4806e−01

7.1783e−01

8.4584e−01

9.1937e−01

9.5873e−01

9.7912e−01

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