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Theory and Modern Applications

Table 17 Example  9 : Maximum absolute errors at \(\pmb{t = 1}\) , \(\pmb{k = 0.01}\)

From: High-accuracy quasi-variable mesh method for the system of 1D quasi-linear parabolic partial differential equations based on off-step spline in compression approximations

N  + 1

p  = 1

p  = 2

\(\boldsymbol {R_{e} = 10}\)

\(\boldsymbol {R_{e} = 100}\)

\(\boldsymbol {R_{e} = 10}\)

\(\boldsymbol {R_{e} = 100}\)

50

1.6813(–06)

4.6778(–06)

1.5631(–06)

4.6698(–06)

60

1.4553(–06)

4.6745(–06)

1.3410(–06)

4.6676(–06)

70

1.2087(–06)

4.6677(–06)

1.1388(–06)

4.6634(–06)

80

9.1317(–07)

4.6789(–06)

8.5845(–07)

4.6621(–06)

90

6.1444(–07)

4.6794(–06)

5.4123(–07)

4.6623(–06)