期刊
APPLIED NUMERICAL MATHEMATICS
卷 61, 期 4, 页码 593-614出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.apnum.2010.12.004
关键词
Schrodinger equation; ADI compact difference scheme; Conservation law; Error estimate
资金
- NNSF of China [10971204]
In this paper, alternating direction implicit compact finite difference schemes are devised for the numerical solution of two-dimensional Schrodinger equations. The convergence rates of the present schemes are of order O(h(4) + tau(2)). Numerical experiments show that these schemes preserve the conservation laws of charge and energy and achieve the expected convergence rates. Representative simulations show that the proposed schemes are applicable to problems of engineering interest and competitive when compared to other existing procedures. (C) 2010 IMACS. Published by Elsevier B.V. All rights reserved.
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