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Table 5 Comparison of invariants for the interaction of three solitary waves with results from [34] with h=0.2, k=0.025 in the region 0x250

From: Numerical approximation to a solution of the modified regularized long wave equation using quintic B-splines

Present method

[34]

t

I 1

I 2

I 3

I 1

I 2

I 3

0

14.9800762

15.8374849

23.0081806

14.980099

15.837528

23.008136

5

14.9381371

15.7382326

23.1074329

14.980105

15.824928

22.957891

10

14.9071292

14.1781087

24.6675567

14.980109

15.807025

22.877972

15

14.8836886

15.3648852

23.4807802

14.980106

15.807032

22.885947

20

14.8503851

15.5659364

23.2797291

14.980106

15.795022

22.837454

25

14.8194163

15.6235556

23.2221098

14.980107

15.782840

22.788852

30

14.7905616

15.5976717

23.2479938

14.980107

15.770634

22.740419

35

14.7636015

15.5610664

23.2845991

14.980108

15.758480

22.692279

40

14.7383184

15.5256320

23.3200335

14.980108

15.746389

22.644448

45

14.7145273

15.4927592

23.3529062

14.968030

15.734374

22.596591

45[30]

13.7043

15.6563

22.9303

   

45[35]MQ

14.96814

15.73434

22.596625

   

45[35]IMQ

14.96808

15.73434

22.596625

   

45[35]IQ

14.96813

15.73434

22.596625

   

45[35]GA

14.96810

15.73433

22.596626

   

45[35]TPS

14.96824

15.73376

22.594494