Journal
APPLIED NUMERICAL MATHEMATICS
Volume 156, Issue -, Pages 32-49Publisher
ELSEVIER
DOI: 10.1016/j.apnum.2020.04.008
Keywords
Nonlinear Schrodinger equation; Three-level linearized difference scheme; Artificial boundary condition; Stability; Convergence
Categories
Funding
- Science Challenge Project [TZ2016002]
- National Natural Science Foundation of China [41874086, 11501514]
- Excellent Youth Foundation of Hunan Province of China [2018JJ1042]
- Innovation-Driven Project of Central South University [2018CX042]
- Chinese University of Hong Kong, Shenzhen [PF01000857]
- Natural Science Foundation of Zhejiang Province [LY19A010026]
- Zhejiang Province Yucai Project
- Fundamental Research Funds of Zhejiang Sci-Tech University [2019Q072]
Ask authors/readers for more resources
This paper is concerned with the numerical solutions of nonlinear Schrodinger equation (NLSE) in one-dimensional unbounded domain. The unbounded problem is truncated by the third-order absorbing boundary conditions (ABCs), and the corresponding initial-boundary value problem is solved by a three-level linearized difference scheme. By introducing auxiliary functions to simplify the difference scheme, the proposed difference scheme for NLSE with third-order ABCs is theoretically analyzed. It is strictly proved that the difference scheme is uniquely solvable and unconditionally stable, and has secondorder accuracy both in time and space. Finally, several numerical examples are given to verify the theoretical results. (C) 2020 IMACS. Published by Elsevier B.V. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available
Share Paper
