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Theory and Modern Applications

Table 7 Error norms and spectral radius for the solution of Example 2 in Case 2.1

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)

\(L_{\infty }\)

\(L_{2}\)

0.5

1.30003E−06

1.19098E−06

8.02962E−07

2.47751

0.99977

9.17284E−06

6.95296E−06

1

2.71589E−06

2.40019E−06

1.61820E−06

4.96976

0.99975

6.85294E−06

6.13104E−06

2

1.83876E−06

1.59027E−06

1.07216E−06

9.90485

0.99973

7.30254E−06

7.22859E−06

4

2.15134E−07

1.84222E−07

1.24203E−07

19.74891

0.99972

6.44377E−07

6.70231E−07