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

Table 2

Exact, numerical, and absolute value of error with different value of with respect to the obtained solution via the extended simplest equation method (18) and sech-tanh method (31) via the cubic B-spline scheme.

Value of	Ext. Sim Eq. Method		Sech-tanh method		Absolute error
	Exact	Numerical	Exact	Numerical	First scheme	Second scheme
0	−2	−2	−0.5	−0.5	0	0
0.001	−1.99999	−1.99987	−0.499999	−0.499998	0.00012596	8.99958
0.002	−1.99998	−1.99971	−0.499994	−0.499994	0.000263919	1.59986
0.003	−1.99995	−1.99953	−0.499987	−0.499987	0.000413876	2.09974
0.004	−1.9999	−1.99933	−0.499976	−0.499976	0.000575829	2.39971
0.005	−1.99985	−1.9991	−0.499963	−0.499963	0.000749778	2.49963
0.006	−1.99978	−1.99885	−0.499946	−0.499946	0.000935721	2.39959
0.007	−1.99971	−1.99857	−0.499927	−0.499927	0.00113366	2.09953
0.008	−1.99962	−1.99827	−0.499904	−0.499904	0.00134358	1.59955
0.009	−1.99951	−1.99795	−0.499879	−0.499879	0.0015655	8.99764
0.01	−1.9994	−1.9976	−0.49985	−0.49985	0.0017994	0