Theory and Modern Applications
Table 2 The LADM solution for a distinct value of γ when \(\eta =0.001 \) and Example 2 absolute error (AE)
From: A novel method for the analytical solution of fractional Zakharov–Kuznetsov equations
LADM | |||||||
|---|---|---|---|---|---|---|---|
\(x_{1}\) | \(y_{1}\) | \(t_{1}\) | γ = 0.50 | γ = 0.75 | γ = 1 | Exact(γ = 1) | AE(γ = 1) |
0.1 | 0.1 | 0.1 | 5.000913E-5 | 5.000918E-5 | 5.000922E-5 | 4.998424E-5 | 2.497599E-8 |
0.3 | 5.000903E-5 | 5.000909E-5 | 5.000914E-5 | 4.993421E-5 | 7.492792E-8 | ||
0.5 | 5.000896E-5 | 5.000901E-5 | 5.000907E-5 | 4.988419E-5 | 1.248797E-7 | ||
0.6 | 0.6 | 0.1 | 3.020038E-4 | 3.020039E-4 | 3.020039E-4 | 3.019785E-4 | 2.544951E-8 |
0.3 | 3.020037E-4 | 3.020037E-4 | 3.020038E-4 | 3.019274E-4 | 7.634800E-8 | ||
0.6 | 3.020036E-4 | 3.020036E-4 | 3.020037E-4 | 3.018764E-4 | 1.272462E-8 | ||
1 | 1 | 0.1 | 5.09310E-04 | 5.09310E-04 | 5.09310E-04 | 5.092844E-4 | 2.632114E-8 |
0.3 | 5.09110E-04 | 5.09310E-04 | 5.09310E-04 | 5.092316E-4 | 7.896253E-8 | ||
0.6 | 5.09310E-04 | 5.09310E-04 | 5.09310E-04 | 5.091788E-4 | 1.316031E-7 | ||