Table 4 Numerical outcome to example 2.

From: Analytical treatment of the fractional Zakharov–Kuznetsov equation via the generalized integral residual power series method

x/y

t

Exact

GIRPSM

α = 0.75

α = 0.9

α = 1

0.1

0.1

4.9984245*\({10}^{-5}\)

5.0009186*\({10}^{-5}\)

5.0009210*\({10}^{-5}\)

5.0009221*\({10}^{-5}\)

0.25

4.9946725*\({10}^{-5}\)

5.0009114*\({10}^{-5}\)

5.0009146*\({10}^{-5}\)

5.0009165*\({10}^{-5}\)

0.5

4.9884190*\({10}^{-5}\)

5.0009015*\({10}^{-5}\)

5.0009048*\({10}^{-5}\)

5.0009070*\({10}^{-5}\)

0.75

4.9821655*\({10}^{-5}\)

5.0008928*\({10}^{-5}\)

5.0008956*\({10}^{-5}\)

5.0008976*\({10}^{-5}\)

1

4.9759121*\({10}^{-5}\)

5.0008848*\({10}^{-5}\)

5.0008866*\({10}^{-5}\)

5.0008881*\({10}^{-5}\)

0.5

0.1

0.0002511336

0.0002511589

0.00025115895

0.00025115896

0.25

0.0002510956

0.0002511588

0.00025115887

0.00025115889

0.5

0.0002510322

0.0002511587

0.00025115875

0.00025115877

0.75

0.0002509689

0.0002511586

0.00025115863

0.00025115866

1

0.0002509055

0.0002511585

0.00025115852

0.00025115854

1

0.1

0.0005092844

0.0005093106

0.00050931073

0.00050931075

0.25

0.0005092448

0.0005093105

0.00050931059

0.00050931063

0.5

0.0005091788

0.0005093103

0.00050931039

0.00050931044

0.75

0.0005091128

0.0005093101

0.00050931021

0.00050931024

1

0.0005090468

0.0005093100

0.00050931003

0.00050931006