Table 6 The time order of convergence and mass errors of the scheme

0.01

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

6.0696E−3

7.0985E−5

1.7420E−5

4.3418E−6

order

–

3.2090

1.0134

1.0022

mass error

2.3822E−16

7.5664E−17

6.3878E−17

2.4554E−16

0.02

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

5.2884E−4

1.3012E−4

3.2490E−5

8.1346E−6

order

–

1.0115

1.0009

0.9989

mass error

2.4307E−16

3.8470E−16

6.4907E−17

5.0431E−16

0.05

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

5.4237E−3

2.7173E−4

6.8298E−5

1.7125E−5

order

–

2.1595

0.9961

0.9979

mass error

4.2901E−16

4.4524E−16

1.0077E−16

1.5782E−15