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Theory and Modern Applications

Table 7 Comparison of \(L_{\infty } \) errors of Example 2, for \(\alpha = 1\) and various values of t

From: An effective computational approach based on Gegenbauer wavelets for solving the time-fractional Kdv-Burgers-Kuramoto equation

t

\(L_{\infty } ( [ 11 ] )\)

\(L_{\infty } (\beta = 1/2)\)

\(L_{\infty } ( \beta = 3/2 )\)

0.1

7.69510e -5

7.70363213923580e–5

7.62057338221985e–5

0.2

2.80724e -4

1.74733689594274e–4

2.43923870655135e–4

0.3

1.03017e -3

3.63149182375185e–4

5.32845339237378e–4

0.4

2.54254e -3

6.42282783735154e–4

9.42970123568948e–4

0.5

5.29182e -3

1.01213453367412e–3

1.47429826364986e–3

0.6

9.52067e -3

1.47270445219214e–3

2.12682977948012e–3