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Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 3 Errors and orders in time for the quantum 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

7.4781e−07

 

2.3870e−06

 

4096

32

1.9321e−07

1.9525

6.1135e−07

1.9652

4096

64

4.9212e−08

1.9731

1.5481e−07

1.9815

4096

128

1.2492e−08

1.9780

3.9451e−08

1.9723

N(x,t)

M

N

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

Order

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

Order

 

4096

16

8.8454e−07

 

1.9595e−06

 

4096

32

2.3661e−07

1.9024

5.1067e−07

1.9401

4096

64

6.1063e−08

1.9542

1.3052e−07

1.9681

4096

128

1.5403e−08

1.9870

3.3441e−08

1.9646

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