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Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 12 Convergence rate of maximum error of Example 6 at \(T=1\)

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

dt

Solution of u

Solution of v

\(L_{\infty }\)

Rate

CPU time

\(L_{\infty }\)

Rate

CPU time

1/10

3.06899E−04

–

2.46295

3.06899E−04

–

2.46295

1/20

7.66623E−05

2.00117

2.44621

7.66623E−05

2.00117

2.44621

1/40

1.91617E−05

2.00029

2.49829

1.91617E−05

2.00029

2.49829

1/80

4.79018E−06

2.00007

2.57567

4.79018E−06

2.00007

2.57567

1/160

1.19753E−06

2.00002

2.83212

1.19753E−06

2.00002

2.83212

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