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Theory and Modern Applications

Table 2 Errors of different basic function numbers at t=0.1

From: Fourier spectral method for the modified Swift-Hohenberg equation

N

err(0.1,Δ t 0 )

err ( 0.1 , Δ t 0 ) N − 2

24

2.28708 × 10−10

1.32 × 10−7

28

1.3588 × 10−10

1.07 × 10−7

32

7.32182 × 10−11

7.50 × 10−8

36

3.87087 × 10−11

5.02 × 10−8

40

2.03256 × 10−11

3.25 × 10−8