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Theory and Modern Applications

Table 1 Errors and EOC with some values of N at T=40 for (a,μ)=(1,2) , α=0.8 and ( x 0 , y 0 )=(0.9,2.1)

From: Nonstandard finite difference schemes for a fractional-order Brusselator system

N

NSFD 1

NSFD 2

NSFD 3a

NSFD 3b

Error

EOC

Error

EOC

Error

EOC

Error

EOC

320

3.05(−4)

 

1.45(−4)

 

2.95(−4)

 

1.54(−4)

 

640

1.70(−4)

0.842

7.33(−5)

0.985

1.67(−4)

0.823

7.32(−5)

1.072

1,280

9.55(−5)

0.831

3.61(−5)

1.022

9.39(−5)

0.827

3.64(−5)

1.007

2,560

5.42(−5)

0.818

1.80(−5)

1.005

5.32(−5)

0.818

1.82(−5)

1.003

5,120

3.09(−5)

0.811

8.98(−6)

1.002

3.04(−5)

0.807

9.07(−6)

1.002

10,240

1.77(−5)

0.807

4.49(−6)

1.001

1.74(−5)

0.803

4.53(−6)

1.001