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Theory and Modern Applications

Table 1 With reference to Sect. 5.1, the relative error between the exact solution and its numerical approximation, related to the initial condition \(u_{0}(x)=e^{-x^{2}}\), at time \(t_{m}=1\) as 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

6.8594 × 10−2

200

1.2508 × 10−2

2.4552

400

2.1895 × 10−3

2.4847

800

5.3782 × 10−4

2.3499

1600

2.6481 × 10−5

2.7217