Applied Mathematics and Computation, volume 182, issue 2, pages 1780-1794
Analysis of some new conservative schemes for nonlinear Schrödinger equation with wave operator
Publication type: Journal Article
Publication date: 2006-11-01
Journal:
Applied Mathematics and Computation
Q1
Q1
SJR: 1.026
CiteScore: 7.9
Impact factor: 3.5
ISSN: 00963003, 18735649
Computational Mathematics
Applied Mathematics
Abstract
Some new conservative finite difference schemes are presented for an initial-boundary value problem of Schrodinger equation with wave operator. They have the advantages that there are some discrete energies which are conserved respectively. The existence of the solution of the finite difference schemes are proved by Leray–Schauder fixed point theorem. And the uniqueness, stability and convergence of difference solutions with order O(h2 + τ2) are proved in the energy norm. Results of numerical experiment demonstrate the efficiency of the new scheme.
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Wang T., Zhang L. Analysis of some new conservative schemes for nonlinear Schrödinger equation with wave operator // Applied Mathematics and Computation. 2006. Vol. 182. No. 2. pp. 1780-1794.
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Wang T., Zhang L. Analysis of some new conservative schemes for nonlinear Schrödinger equation with wave operator // Applied Mathematics and Computation. 2006. Vol. 182. No. 2. pp. 1780-1794.
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TY - JOUR
DO - 10.1016/j.amc.2006.06.015
UR - https://doi.org/10.1016/j.amc.2006.06.015
TI - Analysis of some new conservative schemes for nonlinear Schrödinger equation with wave operator
T2 - Applied Mathematics and Computation
AU - Wang, Ting-Chun
AU - Zhang, LuMing
PY - 2006
DA - 2006/11/01
PB - Elsevier
SP - 1780-1794
IS - 2
VL - 182
SN - 0096-3003
SN - 1873-5649
ER -
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BibTex (up to 50 authors)
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@article{2006_Wang,
author = {Ting-Chun Wang and LuMing Zhang},
title = {Analysis of some new conservative schemes for nonlinear Schrödinger equation with wave operator},
journal = {Applied Mathematics and Computation},
year = {2006},
volume = {182},
publisher = {Elsevier},
month = {nov},
url = {https://doi.org/10.1016/j.amc.2006.06.015},
number = {2},
pages = {1780--1794},
doi = {10.1016/j.amc.2006.06.015}
}
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MLA
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Wang, Ting-Chun, and LuMing Zhang. “Analysis of some new conservative schemes for nonlinear Schrödinger equation with wave operator.” Applied Mathematics and Computation, vol. 182, no. 2, Nov. 2006, pp. 1780-1794. https://doi.org/10.1016/j.amc.2006.06.015.