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Theory and Modern Applications

Table 2 Error norms and spectral radius for the solution of Example 1 in Case 1.2

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)

\(L_{\infty }\)

\(L_{2}\)

15

3.81435E−03

2.33487E−03

2.22621E−03

0.67051

0.90525

2.83295E−07

4.07965E−07

30

7.27212E−04

4.45113E−04

4.24399E−04

1.25709

0.90536

1.63593E−07

3.21668E−07

60

1.78124E−05

1.09024E−05

1.03950E−05

2.47020

0.90538

1.58949E−07

2.95373E−07

120

6.28300E−09

3.71490E−09

3.54210E−09

4.90538

0.90538

6.94339E−07

1.15759E−07