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Theory and Modern Applications

Table 1 The relative error for fractional diffusion equation for various values of discretization, at \(\pmb{D=0.25}\) and \(\pmb{t=5}\)

From: Mathematical analysis and numerical simulation of two-component system with non-integer-order derivative in high dimensions

N

40

50

60

70

80

Fourier spectral

1.2894e–08

1.5238e–08

2.2660e–08

3.1952e–08

4.1239e–08

Finite difference

1.0017e–04

3.9125e–04

2.6447e–03

2.9589e–03

1.4286e–02

Ratio

7.7687e+03

2.5676e+04

1.1671e+05

9.2605e+04

3.4642e+05