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Theory and Modern Applications

Table 3 Error norms of Example 1 using regular points

From: An efficient numerical scheme based on Lucas polynomials for the study of multidimensional Burgers-type equations

T

Case 1.1

Case 1.2

\(L_{\infty }\)

\(L_{2}\)

RMS

\(L_{\infty }\)

\(L_{2}\)

RMS

15

1.28637E−04

9.37455E−05

8.93828E−05

3.81426E−03

2.78445E−03

2.65487E−03

30

3.33900E−07

2.30756E−07

2.20017E−07

7.27194E−04

5.30825E−04

5.06122E−04

60

7.44355E−08

5.89236E−08

5.61815E−08

1.77841E−05

1.29857E−05

1.23814E−05

120

1.62962E−08

1.04962E−08

1.00077E−08

3.14269E−08

1.55306E−08

1.48079E−08