Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 1 $l^{2}$ -errors and convergence orders of integrator (14) for the problem $μ = 1$ with $Δ t = 0.1 Δ x$

From: Nonstandard finite difference variational integrators for nonlinear Schrödinger equation with variable coefficients

Mesh size	t = 1.5	t = 3	t = 3.5
Δx = 0.2
Error	0.0734	0.0125	0.0307
Order	-	-	-
Δx = 0.1
Error	0.0203	0.0030	0.0075
Order	1.8543	2.0589	2.0333
Δx = 0.05
Error	0.0051	7.3821e − 4	0.0018
Order	1.9929	2.0229	2.0590
Δx = 0.025
Error	0.0013	1.8495e − 4	4.5060e − 4
Order	1.9720	1.9969	1.9981

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