On the Analytical and Numerical Solutions of the One-Dimensional Nonlinear Schrodinger Equation

Table 3

A sum of squares errors (SSEs) comparison of the Hopscotch method, the split-step Fourier transform, and the Fourier pseudospectral method at and over a space domain , computed over a range of different values from to .

Time,	SSE of Hopscotch method	SSE of split-step Fourier transform	SSE of Fourier pseudospectral method
	2.0358e − 03	5.5827e − 22	9.0561e − 04
	4.7184e − 03	1.259e − 21	2.0432e − 03
	2.9227e − 02	2.25e − 21	3.6421e − 03
	1.3950e − 02	3.5229e − 21	5.7062e − 03
	2.0757e − 02	5.0394e − 21	8.2392e − 03
	2.9227e − 02	6.8394e − 21	1.1245e − 02
	3.9536e − 02	8.9218e − 21	1.4727e − 02