Theory and Modern Applications
Table 1 Comparison of \(E_{1}\) and \(E_{2}\), the maximum absolute errors, for different values of N, M in Example 1, when \(0< t\leq 1 \)
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 | ||
10 | 10 | 3.5478e−01 | 1.1329e−02 | 4.4571e−03 | 4.3610e−01 | 5.8361e−02 | 2.2423e−02 |
25 | 25 | 4.1842e+00 | 4.6783e−03 | 1.9563e−03 | divergent | 4.3784e−03 | 5.6345e−03 |
40 | 40 | 9.8712e+00 | 7.7532e−04 | 8.3712e−04 | divergent | 1.3741e−03 | 1.1524e−03 |
50 | 50 | divergent | 1.0763e−04 | 4.5137e−04 | divergent | 7.4723e−04 | 7.7859e−04 |