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Abstract

This paper is concerned with mass and energy recovery by some conserved compact finite difference schemes for the nonlinear Schrodinger-Poisson equations. The mass and energy conservation, the unique solvability, convergence and stability of the proposed schemes are proved. It is shown that the proposed methods are of order 2 in temporal direction and order 4 in spatial direction. Numerical experiments are presented to illustrate our theoretical results.

Authors

Cheng, Xiujun;  Chen, Xiaoli;  Li, Dongfang

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