Local energy-preserving algorithms for nonlinear fourth-order Schrödinger equation with trapped term

Jiaxiang Cai, Hua Liang and Bin Yang

Applied Mathematics and Computation, 2017, vol. 296, issue C, 23-32

Abstract: Based on the rule that numerical algorithms should preserve the intrinsic properties of the original problem as many as possible, we propose two local energy-preserving algorithms for the nonlinear fourth-order Schrödinger equation with a trapped term. The local energy conservation law is preserved on any local time-space region. With appropriate boundary conditions, the first algorithm will be both globally charge- and energy-preserving and the second one will be energy-preserving. Numerical experiments show that the proposed algorithms provide more accurate solution than many existing methods and also exhibit excellent performance in preserving conservation laws.

Keywords: Schrödinger equation; Structure-preserving algorithm; Local property; Conservation law; Energy (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:296:y:2017:i:c:p:23-32

DOI: 10.1016/j.amc.2016.10.011

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