Theory and Modern Applications
Table 4 With reference to Sect. 5.3, the relative error and the convergence rate, related to the initial displacement \(u_{0}(x)=\chi _{[0,1]}(x)\), at time \(t_{m}=1\) as a function of the number of discretization points
From: A fast-convolution based space–time Chebyshev spectral method for peridynamic models
N | \(E^{m}\) | Convergence rate |
|---|---|---|
100 | 4.1382 × 10−1 | − |
200 | 1.4162 × 10−1 | 1.5470 |
400 | 6.9453 × 10−2 | 1.2874 |
800 | 3.6519 × 10−2 | 1.1535 |
1600 | 2.6514 × 10−3 | 1.6528 |