Effective Mass and Energy Recovery by Conserved Compact Finite Difference Schemes | Zendy

Xiujun Cheng | Zendy; Xiaoli Chen | Zendy; Dongfang Li | Zendy

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Effective Mass and Energy Recovery by Conserved Compact Finite Difference Schemes

Author(s) -

Xiujun Cheng,

Xiaoli Chen,

Dongfang Li

Publication year - 2018

Publication title -

ieee access

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.587

H-Index - 127

ISSN - 2169-3536

DOI - 10.1109/access.2018.2870254

Subject(s) - aerospace , bioengineering , communication, networking and broadcast technologies , components, circuits, devices and systems , computing and processing , engineered materials, dielectrics and plasmas , engineering profession , fields, waves and electromagnetics , general topics for engineers , geoscience , nuclear engineering , photonics and electrooptics , power, energy and industry applications , robotics and control systems , signal processing and analysis , transportation

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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