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Theory and Modern Applications

Table 8 Comparison of \(L_{\infty } \) errors of Example 2, for various values of t

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

 

GWGM (β = 1/2,α = 0.75)

GWGM (β = 1/2,α = 0.90)

GWGM (β = 1/2,α = 0.99)

t

\(L_{\infty } \)

\(L_{\infty } \)

\(L_{\infty } \)

0.1

7.24471139239957e–4

1.99671106131723e–4

1.05542090770287e–4

0.2

4.26274825350849e–3

1.84704591787542e–3

3.35256122078600e–4

0.3

4.32284738233142e–3

2.05646098656650e–3

5.17822307414012e–4

0.4

2.97005943570883e–3

1.63679948920502e–3

7.24804001776561e–4

0.5

1.39800816364066e–3

1.11218254579090e–3

1.00580544516622e–3

0.6

2.63152937160835e–3

1.34650167472200e–3

1.39887271758302e–3

0.7

3.29568243108563e–3

1.78213515345529e–3

1.93487350902691e–3

0.8

2.80002304150284e–3

2.35086234923315e–3

2.63977471949789e–3

0.9

6.26107542091237e–3

4.53192197160868e–3

3.53598204899608e–3

1.0

1.24007652216164e–2

7.91696238793160e–3

4.64319539752128e–3