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Table 1 Error norm ||L 2|| at some selected time steps for solving KiSS Eq. (34)

From: Effect of spatial configuration of an extended nonlinear Kierstead–Slobodkin reaction-transport model with adaptive numerical scheme

Method

Time step (k)

||L 2||

CPU time (s)

ETDM4

1/32

0.2150

1.5086

1/64

0.0301

1.5467

1/256

3.3910e−004

1.7189

1/1024

3.4784e−006

3.8817

ETDM5

1/32

0.2170

1.9896

1/64

0.0195

2.0277

1/256

1.7793e−005

2.3538

1/1024

1.7923e−006

4.6010

ETDM6

1/32

0.0664

2.0405

1/64

8.5299e−004

2.0515

1/256

4.2840e−004

2.2500

1/1024

1.8248e−007

8.2387

ETDADAMS4

1/32

0.0050

1.4850

1/64

0.0028

1.5511

1/256

1.3334e−004

1.8339

1/1024

2.3963e−006

4.4020

ETDRK4

1/32

7.2013e−004

1.1146

1/64

5.0921e−005

1.0236

1/256

3.5038e−007

1.3198

1/1024

4.4086e−009

3.8726