Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 198, Issue 9-12, Pages 1052-1060Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2008.11.011
Keywords
Nonlinear Schrodinger equation; Compact finite difference scheme; Conservation law; Error estimate; Soliton
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In this paper, two compact finite difference schemes are presented for the numerical solution of the one-dimensional nonlinear Schrodinger equation. The discrete L-2-norm error estimates show that convergence rates of the present schemes are of order O(h(4) + r(2)). Numerical experiments on some model problems show that the present schemes preserve the conservation laws of charge and energy and are of high accuracy. (C) 2008 Elsevier B.V. All rights reserved.
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