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Theory and Modern Applications

Table 3 The maximum absolute error defined by \(\mathrm{err}_{\max } = \max \vert {\tilde{c}({x_{i}},T) - c({x_{i}},T)} \vert \) for all \(i = 0,1,\ldots,N\), where \(T = 10,20,30\), and 40

From: A one-dimensional mathematical simulation to salinity control in a river with a barrage dam using an unconditionally stable explicit finite difference method

T

FTCS

Saulyev

 

\(\mathrm{err}_{\max }\)

\(\mathrm{err}_{\max }\)

10

5.9442 × 10−4

5.1141 × 10−4

20

0.0044

0.0042

30

0.0083

0.0082

40

0.0107

0.0107