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Theory and Modern Applications

Table 12 Example  4 : Case 4.3: 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

\(\boldsymbol {\gamma = 10^{ - 2}}\)

\(\boldsymbol {\gamma = 10^{ - 3}}\)

\(\boldsymbol {\gamma = 10^{ - 4}}\)

0.1

0.1

1.1852(–13)

6.4193(–14)

7.1360(–15)

0.5

1.1358(–13)

3.6082(–14)

1.0680(–15)

0.9

1.0858(–13)

7.6883(–15)

8.4099(–15)

0.5

0.1

8.8096(–14)

5.2708(–14)

6.9000(–14)

0.5

8.4543(–14)

7.0194(–14)

6.9375(–14)

0.9

8.1157(–14)

6.8168(–14)

4.8003(–14)

0.9

0.1

2.3870(–15)

8.8818(–16)

1.4017(–15)

0.5

2.2760(–15)

1.3878(–15)

1.4017(–15)

0.9

2.2204(–15)

1.4155(–15)

7.7716(–16)