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Theory and Modern Applications

Table 1 Error norms and spectral radius for the solution of Example 1 in Case 1.1

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)

\(L_{\infty }\)

\(L_{2}\)

15

1.28718E−04

7.86412E−05

7.49814E−05

0.66911

0.90538

5.06827E−07

6.49722E−07

30

3.23867E−07

1.97190E−07

1.88013E−07

1.33715

0.90538

5.02830E−07

6.43856E−07

60

1.31743E−08

7.88550E−09

7.51850E−09

2.65801

0.90538

5.00811E−07

6.40890E−07

120

5.45880E−09

3.87940E−09

3.69890E−09

5.26212

0.90538

5.00144E−07

6.30883E−07