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Theory and Modern Applications

Table 5 Example  1 : Case 1.2(b): Maximum absolute errors at \(\pmb{\delta = 2}\)

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

t

Method given in [ 24 ]

Method given in [ 5 ]

Proposed method ( 3.6 )

0.2

2.5610(–06)

7.9688(–07)

2.9321(–07)

0.4

4.2430(–06)

1.4540(–06)

3.9463(–07)

0.6

3.5684(–06)

1.8274(–06)

3.7075(–07)

0.8

1.4651(–06)

1.8775(–06)

2.7398(–07)

1.0

5.5423(–06)

1.6771(–06)

1.7040(–07)