Computational and Numerical Solutions for -Dimensional Integrable Schwarz–Korteweg–de Vries Equation with Miura Transform

Table 1

Exact, semianalytical, and absolute values of error with different values of with respect to the obtained solution via extended simplest equation method (18) and sech-tanh method (31) via the Adomian decomposition method.

Ext. Sim Eq. method			Sech-tanh method		Absolute error
Value of 3	Exact	Approximate	Exact	Approximate	First scheme	Second scheme
0.001	1.99998	1.99999	0.499999	0.499999	1.19999E−05	4.99711
0.002	1.9999	1.99995	0.499994	0.499994	0.000047999	7.99988
0.003	1.99978	1.99989	0.499987	0.499987	0.000107995	4.05003
0.004	1.99962	1.99981	0.499976	0.499976	0.000191984	1.28001
0.005	1.9994	1.9997	0.499963	0.499963	0.00029996	3.12502
0.006	1.99914	1.99957	0.499946	0.499946	0.000431917	6.48006
0.007	1.99882	1.99941	0.499927	0.499927	0.000587846	1.20052
0.008	1.99846	1.99923	0.499904	0.499904	0.000767738	2.04804
0.009	1.99806	1.99903	0.499879	0.499879	0.00097158	3.28057
0.01	1.9976	1.9988	0.49985	0.49985	0.00119936	5.00013