Table 1 The space order of convergence and mass errors of the scheme

0.1

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

2.7344E−3

6.8471E−4

3.0517E−4

1.7291E−4

order

–

1.9977

1.9931

1.9747

mass error

5.6209E−15

3.0334E−15

4.1574E−16

1.100E−15

0.2

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

3.5663E−3

8.9895E−4

4.0760E−4

2.3666E−4

order

–

1.9881

1.9507

1.8898

mass error

4.4101E−15

6.2306E−15

3.7128E−16

2.9389E−15

0.5

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

3.7909E−3

9.7838E−4

4.5906E−4

2.7762E−4

order

–

1.9541

1.8663

1.7482

mass error

4.3134E−15

4.8924E−15

7.4806E−16

6.0204E−15