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Theory and Modern Applications

Table 11 Example  4 : Case 4.2: Maximum absolute errors

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

β  = 10

β  = 100

β  = 200

0.1

0.1

6.4393(–15)

6.6946(–14)

6.7590(–13)

0.5

2.6867(–14)

4.4409(–14)

2.6479(–14)

0.9

8.3267(–16)

8.8818(–15)

8.4044(–14)

0.5

0.1

5.2736(–15)

4.6241(–14)

4.5314(–13)

0.5

9.9809(–14)

7.0166(–14)

6.7590(–13)

0.9

7.0499(–15)

6.9666(–14)

7.0732(–13)

0.9

0.1

1.1102(–16)

7.7716(–16)

7.6050(–15)

0.5

2.6423(–14)

1.3878(–15)

1.4044(–14)

0.9

1.6653(–16)

1.3878(–15)

1.4044(–14)