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

Boundary Value Problems

Table 6 Invariants of the MRLW equation using the Maxwellian initial condition

t	μ	$I_{1}$	$I_{2}$	$I_{3}$	μ	$I_{1}$	$I_{2}$	$I_{3}$
0	0.1	1.7724809	1.3786633	0.7609104	0.015	1.7724809	1.2721327	0.8674410
3		1.7721927	1.4728222	0.6667515		1.7436793	1.4180550	0.7215188
6		1.7717480	1.4720618	0.6675119		1.7244620	1.4036726	0.7359011
9		1.7713064	1.4715473	0.6680264		1.7116986	1.3940073	0.7455664
12		1.7708674	1.4711193	0.6684544		1.7021509	1.3870669	0.7525068
15		1.7704309	1.4707290	0.6688447		1.6945087	1.3816736	0.7579001
0	0.01	1.7724809	1.2658662	0.8737075	0.04	1.7724809	1.3034651	0.8361087
3		1.7264258	1.4001430	0.7394307		1.7685556	1.4501960	0.6893777
6		1.7031386	1.3850514	0.7545223		1.7637294	1.4456393	0.6939344
9		1.6885258	1.3755380	0.7640357		1.7592882	1.4415131	0.6980606
12		1.6777156	1.3686563	0.7709174		1.7551780	1.4378815	0.7016922
15		1.6691476	1.3635304	0.7760434		1.7513552	1.4345989	0.7049748