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Table 4 Comparison of invariants for the interaction of two 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

11.4676542

14.6292080

22.8803584

11.467698

14.629277

22.880432

2

11.4678169

14.6282301

22.8813363

11.467698

14.624259

22.860365

4

11.4679819

14.6282293

22.8813371

11.467698

14.619226

22.840279

6

11.4681349

14.6181053

22.8914611

11.467699

14.614169

22.820069

8

11.4675390

14.1393389

23.3702275

11.467700

14.606821

22.787857

10

11.4674118

14.0502062

23.4593602

11.467700

14.603687

22.771773

12

11.4685494

14.6816556

22.8279107

11.467699

14.603056

22.775766

14

11.4687073

14.6648742

22.8446922

11.467699

14.598059

22.756029

16

11.4688627

14.6459207

22.8636457

11.467700

14.593048

22.736127

18

11.4690242

14.6370095

22.8725569

11.467700

14.588061

22.716289

20

11.4691886

14.6331334

22.8764330

11.467701

14.583089

22.696510

20[28]

11.4677

14.6299

22.8806

   

20[30]

11.4677

14.6292

22.8809

   

20[35]MQ

11.467698

14.583052

22.696539

   

20[35]IMQ

11.467679

14.583052

22.696539

   

20[35]IQ

11.467690

14.583052

22.696539

   

20[35]GA

11.467698

14.583052

22.696539

   

20[35]TPS

11.467742

14.582424

22.694269