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Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 1 Errors and orders in time for the classical Zakharov system

From: Conservative Fourier spectral method for a class of modified Zakharov system with high-order space fractional quantum correction

E(x,t)

M

N

\(\| E-E_{M}\| _{\infty} \)

Order

\(\| E-E_{M}\| _{2} \)

Order

 

4096

16

7.4783e−07

 

2.3871e−06

 

4096

32

1.9320e−07

1.9526

6.1155e−07

1.9647

4096

64

4.9076e−08

1.9770

1.5562e−07

1.9744

4096

128

1.2366e−08

1.9886

4.2652e−08

1.8674

N(x,t)

M

N

\(\| N-N_{M}\| _{\infty} \)

Order

\(\| N-N_{M}\| _{2} \)

Order

 

4096

16

8.8471e−07

 

1.9594e−06

 

4096

32

2.3678e−07

1.9017

5.1050e−07

1.9404

4096

64

6.1223e−08

1.9514

1.3026e−07

1.9705

4096

128

1.5561e−08

1.9761

3.2899e−08

1.9853

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