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Theory and Modern Applications

Table 9 Error norms of Example 2 using regular points

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

T

Case 2.1

T

Case 2.2

\(L_{\infty }\)

\(L_{2}\)

CPU time

\(L_{\infty }\)

\(L_{2}\)

CPU time

0.5

1.3015E−06

1.4090E−06

2.54465

5

7.9591E−09

7.9238E−09

2.63473

1

2.7606E−06

2.8584E−06

5.21997

10

3.7959E−10

3.8231E−10

5.36142

2

1.8656E−06

1.8930E−06

10.30594

15

3.1634E−10

3.5744E−10

8.05531

4

2.1323E−07

2.1460E−07

20.12716

20

3.6716E−10

3.2228E−10

9.75643