Around Chaotic Disturbance and Irregularity for Higher Order Traveling Waves

Table 2

Some values for numerical and exact solutions to the seventh order KdV equation expressed with the CFFD given in (5) at , , and

For
Time ()	Spatial ()	Exact value	Numerical value	Error made
0.5	−15.0	0.000099315	0.0001 094 20
	−7.0	0.593670000	0.593670000
	0.0	0.151107000	0.151107000
	+7.0	0.06971 8000	0.06971 8000
	+15.0	0.000 167 700	0.00009 6770
1.0	−15.0	0.00009 159 2	0.00008 857 2
	−7.0	0.05477 9000	0.05477 9000
	0.0	0.151907000	0.151907000
	+7.0	0.07 554 6000	0.07 554 6000
	+15.0	0.0001 266 20	0.00002 6620
2.0	−15.0	0.00007790 1	0.000237900
	−7.0	0.04 6635000	0.04663 5000
	0.0	0.152007000	0.152140000
	+7.0	0.08 868 8000	0.08 868 8000
	+15.0	0.0001 488 70	0.0001591 70
4.0	−15.0	0.00005 635 2	0.001316 400
	−7.0	0.03 378 5000	0.03 378 5000
	0.0	0.152060000	0.162060000
	+7.0	0.122 130000	0.120 120000
	+15.0	0.0002057 90	0.0002057 90
8.0	−15.0	0.00002 948 8	0.001 289 500
	−7.0	0.01 771 1000	0.01 931 1000
	0.0	0.152060000	0.162060000
	+7.0	0.230 430000	0.231 630000
	+15.0	0.0003 932 70	0.0004 033 70
10.0	−15.0	0.00002 133 1	0.00002 007 1
	−7.0	0.01 281 9000	0.01283 0000
	0.0	0.161760000	0.162760000
	+7.0	0.315 320000	0.315 320000
	+15.0	0.0005 436 40	0.0005 436 40