Table 2 The time order of convergence and mass errors of the scheme

0.1

\(L^{2}\)-norm-

1.0671E−3

2.5095E−4

1.2075E−4

6.3302E−5

order

–

1.0441

1.0554

0.9317

mass error

1.2228E−15

2.6583E−16

1.3142E−16

1.8414E−15

0.2

\(L^{2}\)-norm-

1.4099E−3

3.7218E−4

1.7956E−4

9.7289E−5

order

–

0.9608

1.0515

0.8841

mass error

5.4347E−16

1.3609E−15

1.2970E−15

2.1003E−16

0.5

\(L^{2}\)-norm-

1.5520E−3

4.5392E−4

2.1815E−4

1.2226E−4

order

–

0.8868

1.0571

0.8354

mass error

1.4268E−15

3.9946E−15

2.2446E−16

1.0600E−15