Theory and Modern Applications
Table 4 Comparison of \(E_{1}\) and \(E_{2}\), the maximum absolute errors, for different values of N, M in Example 3
From: Time-space variable-order fractional nonlinear system of thermoelasticity: numerical treatment
N | M | \(M_{1}\) | \(M_{2}\) | ||||
|---|---|---|---|---|---|---|---|
σ = 1 | σ = 0.5 | σ = 0 | σ = 1 | σ = 0.5 | σ = 0 | ||
6 | 5 | 4.5332e+00 | 8.5664e−02 | 7.7553e−02 | 9.8871e−01 | 3.4288e−02 | 5.1149e−02 |
12 | 10 | divergent | 3.4421e−02 | 1.1233e−02 | divergent | 1.0542e−02 | 1.01783e−02 |
24 | 20 | divergent | 6.7833e−03 | 6.4355e−02 | divergent | 9.3441e−03 | 8.9178e−03 |
36 | 30 | divergent | 1.0499e−03 | 7.0998e−03 | divergent | 5.7334e−03 | 5.1807e−03 |