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Theory and Modern Applications

Table 8 Error norms and spectral radius for the solution of Example 2 in Case 2.2

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

T

Present method using CGL points

[2]

\(L_{\infty }\)

\(L_{2}\)

RMS

CPU time

ρ(M)

\(L_{\infty }\)

\(L_{2}\)

5

8.82513E−09

7.44850E−09

5.02178E−09

2.62885

0.99728

2.13998E−06

1.18957E−06

10

2.15147E−10

2.02252E−10

1.36358E−10

5.18462

0.99728

2.13948E−06

1.18924E−06

15

1.28184E−10

9.95507E−11

6.71170E−11

7.69960

0.99728

2.13899E−06

1.18892E−06

20

9.16529E−11

8.23733E−11

5.55361E−11

10.28641

0.99728

2.13869E−06

1.18744E−06