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Table 7 Errors for single solitary wave with \(h=0.1,{\Delta{t}}=0.01,\mu =1,x\in \left[ 0,100\right] \)

From: A numerical investigation of the GRLW equation using lumped Galerkin approach with cubic B-spline

Ā 

pĀ =Ā 2

pĀ =Ā 3

pĀ =Ā 4

pĀ =Ā 6

pĀ =Ā 8

pĀ =Ā 10

c

0.03

0.1

0.03

0.1

0.03

0.1

0.03

0.1

0.03

0.1

0.03

0.1

amp

0.17

0.31

0.29

0.43

0.38

0.52

0.52

0.63

0.60

0.70

0.66

0.75

Time

Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā 

\({L_{2}}\times 10^{4}\)

Ā 5

4.36

0.16

5.84

0.37

6.89

0.65

8.26

1.44

9.12

2.76

9.71

5.09

Ā 10

5.15

0.27

6.91

0.52

8.15

0.88

9.78

2.24

10.80

5.61

11.53

13.26

Ā 15

5.28

0.36

7.08

0.63

8.35

1.08

10.02

3.25

11.08

9.92

11.91

27.67

Ā 20

5.54

0.44

7.43

0.74

8.77

1.29

10.53

4.51

11.67

15.92

12.66

51.36

\({L_{\infty}}\times 10^{4}\)

Ā 5

2.21

0.09

2.96

0.21

3.49

0.36

4.18

0.82

4.61

1.68

4.90

3.20

Ā 10

2.11

0.13

2.83

0.25

3.33

0.43

4.00

1.18

4.41

3.09

4.68

7.34

Ā 15

2.01

0.16

2.69

0.29

3.18

0.51

3.81

1.66

4.20

5.12

4.46

14.39

Ā 20

4.16

0.19

5.57

0.34

6.58

0.61

7.88

2.22

8.69

7.88

9.23

25.82