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Theory and Modern Applications

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

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

5.5574(–07)

3.5315(–07)

3.4453(–09)

0.4

9.0550(–07)

1.7573(–07)

2.9736(–09)

0.6

2.1880(–06)

1.2889(–07)

2.1401(–09)

0.8

2.9331(–06)

3.8543(–07)

1.5383(–09)

1.0

3.0145(–06)

6.1749(–07)

1.2262(–09)