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

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

t Δt 1/250 1/1000 1/4000 1/16000
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