Theory and Modern Applications
Table 3 Comparison of \(E_{1}\) and \(E_{2}\), the maximum absolute errors, for different values of N, M in Example 2
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 | 5.2998e−00 | 4.5278e−02 | 2.0864e−02 | 6.2518e−01 | 2.0721e−02 | 2.0668e−02 |
25 | 25 | divergent | 6.4189e−03 | 8.9760e−03 | divergent | 9.6235e−03 | 8.9655e−03 |
40 | 40 | divergent | 3.7251e−03 | 2.5102e−03 | divergent | 5.1112e−03 | 3.8879e−03 |
50 | 50 | divergent | 1.0267e−03 | 9.5183e−04 | divergent | 8.9926e−04 | 7.1533e−04 |