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Theory and Modern Applications

Table 10 Example  4 : Case 4.1: 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

δ  = 1

δ  = 2

δ  = 4

0.1

0.1

6.7654(–17)

6.3838(–16)

6.4393(–15)

0.5

4.6404(–17)

4.8919(–16)

4.6352(–15)

0.9

4.7054(–17)

4.5797(–17)

4.9682(–15)

0.5

0.1

2.9816(–17)

3.4001(–16)

3.2752(–15)

0.5

4.2284(–17)

4.3716(–16)

4.2466(–15)

0.9

4.2609(–17)

4.2674(–16)

4.3854(–15)

0.9

0.1

1.0842(–19)

6.9389(–18)

2.7756(–17)

0.5

5.4210(–19)

6.9389(–18)

5.5511(–17)

0.9

5.4210(–19)

6.9389(–18)

5.5511(–17)