Theory and Modern Applications
Table 2 Comparison of \(E_{1}\) and \(E_{2}\), the maximum absolute errors, for different values of N, M in Example 1, when \(0< t\leq 5 \)
From: Time-space variable-order fractional nonlinear system of thermoelasticity: numerical treatment
N | M | \(E_{1}\) | \(E_{2}\) | ||||
|---|---|---|---|---|---|---|---|
σ = 1 | σ = 0.5 | σ = 0 | σ = 1 | σ = 0.5 | σ = 0 | ||
40 | 40 | divergent | 3.4226e−01 | 2.1399e−01 | divergent | 8.0341e−01 | 1.8633e−01 |
60 | 60 | divergent | 6.8113e−02 | 8.3989e−02 | divergent | 5.65394e−02 | 2.9847e−02 |
60 | 80 | divergent | 9.9546e−03 | 1.0302e−02 | divergent | 7.4853e−03 | 1.0301e−02 |