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Theory and Modern Applications

Table 3 The stability and mass errors of the scheme

From: A mass-conserved domain decomposition method for the unsaturated soil flow water problem

t

Δt

1/100

1/200

1/500

1/1000

0.1

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

8.9592E−3

2.1893E−3

5.3842E−4

2.5095E−4

mass error

4.0854E−15

1.7581E−15

2.1940E−15

2.6583E−16

0.2

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

8.0124E−3

2.1446E−3

7.0027E−4

3.7218E−4

mass error

6.2661E−15

2.3825E−15

1.6151E−15

1.3609E−15

0.5

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

4.9804E−3

1.2775E−3

7.4550E−4

4.5391E−2

mass error

3.0825E−15

4.4886E−15

6.4891E−17

3.9946E−15