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Theory and Modern Applications

Table 6 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

m

T

Case 1.3

T

Case 1.4

\(L_{\infty }\)

\(L_{2}\)

RMS

\(L_{\infty }\)

\(L_{2}\)

RMS

1

0.2

1.52588E−05

1.10913E−05

1.05751E−05

1

5.37444E−04

1.78976E−03

3.11557E−04

4

3.32664E−05

2.44805E−05

2.33412E−05

5

2.53004E−03

8.25125E−03

1.43636E−03

8

4.38909E−05

3.23169E−05

3.08129E−05

10

4.36676E−03

1.37152E−02

2.38750E−03