IEEE Access (Jan 2018)
Effective Mass and Energy Recovery by Conserved Compact Finite Difference Schemes
Abstract
This paper is concerned with mass and energy recovery by some conserved compact finite difference schemes for the nonlinear Schrödinger-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.
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