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

Table 2

A sum of squares errors (SSEs) comparison of the Hopscotch method, the Crank-Nicolson 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 Crank-Nicolson method	SSE of split-step Fourier transform	SSE of Fourier pseudospectral method
	4.8231e − 06	7.0135e − 03	1.336e − 24	2.2523e − 06
	1.9345e − 05	3.0067e − 02	5.3599e − 24	9.0118e − 06
	7.781e − 05	1.3966e − 01	2.0889e − 23	3.6067e − 05
	1.7605e − 04	3.7134e − 01	4.7056e − 23	8.1195e − 05
	3.1473e − 04	3.7134e − 01	8.3279e − 23	1.4443e − 04
	4.9454e − 04	1.5546e + 00	1.3957e − 22	2.2579e − 04