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Theory and Modern Applications

Table 9 Example  4 : Case 1.3(c): Maximum absolute errors at \(\pmb{\delta = 8}\) .

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

x

t

Method given in [ 25 ]

Method given in [ 5 ]

Proposed method ( 3.6 )

0.1

0.5

4.60(–11)

9.37(–12)

1.20(–11)

1.0

4.39(–11)

8.93(–12)

1.25(–11)

2.0

3.78(–11)

7.72(–12)

1.31(–11)

0.5

0.5

7.03(–12)

3.06(–12)

4.36(–13)

1.0

6.75(–12)

2.99(–12)

4.57(–13)

2.0

5.67(–12)

2.74(–12)

4.88(–13)

0.9

0.5

3.69(–11)

1.19(–11)

5.55(–16)

1.0

3.45(–11)

1.18(–11)

6.66(–16)

2.0

2.84(–11)

1.13(–11)

6.66(–16)