Theory and Modern Applications
Table 1 The LADM solution for a distinct value of γ when \(\eta =0.001 \) and Example 1 Absolute Error (AE)
From: A novel method for the analytical solution of fractional Zakharov–Kuznetsov equations
LADM | |||||||
|---|---|---|---|---|---|---|---|
\({x_{1}}\) | \({y_{1}}\) | \({t_{1}}\) | γ = 0.55 | γ = 0.75 | γ = 1 | Exact(γ = 1) | AE(γ = 1) |
0.1 | 0.1 | 0.1 | 5.326967E-5 | 5.357024E-5 | 5.380024E-5 | 5.399349E-5 | 1.9325198E-7 |
0.3 | 5.263797E-5 | 5.296756E-5 | 5.330817E-5 | 5.388407E-5 | 5.7590300E-7 | ||
0.5 | 5.219367E-5 | 5.247366E-5 | 5.282125E-5 | 5.377477E-5 | 9.5351584E-7 | ||
0.6 | 0.6 | 0.1 | 2.965070E-3 | 2.991825E-3 | 3.013434E-3 | 3.037236E-3 | 2.3801556E-5 |
0.3 | 2.909727E-3 | 2.937942E-3 | 2.967189E-3 | 2.967189E-3 | 6.8589592E-5 | ||
0.5 | 2.851320E-3 | 2.875999E-3 | 2.903139E-3 | 3.033594E-3 | 1.3045515E-4 | ||
1 | 1 | 0.1 | 1.540570E-2 | 1.644689E-2 | 1.69445E-02 | 1.753518E-2 | 5.9062712E-4 |
0.3 | 1.036347E-2 | 1.443664E-2 | 1.58793E-02 | 1.752790E-2 | 1.6485437E-3 | ||
0.5 | 2.595877E-3 | 1.084553E-2 | 1.44731E-02 | 1.752063E-2 | 3.0474747E-3 | ||