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Theory and Modern Applications

Table 6 Example  1 : Case 1.2(c): Maximum absolute errors at \(\pmb{\delta = 4}\)

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

1.7616(–06)

3.2650(–06)

5.0521(–07)

0.4

4.1735(–07)

3.5607(–06)

3.8995(–07)

0.6

2.4240(–06)

2.5228(–06)

1.6247(–07)

0.8

2.3575(–06)

1.4074(–06)

4.6672(–08)

1.0

1.4435(–06)

6.9013(–07)

1.0805(–08)